tag:blogger.com,1999:blog-35031746625973427032023-06-20T21:36:09.534-07:00Engineering Science MMT1UNIKL MSIhttp://www.blogger.com/profile/08874604299600118567noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-3503174662597342703.post-12027359265230420252011-04-14T10:29:00.000-07:002011-04-14T10:29:43.533-07:00POST 2<div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">question 1</span></div><div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><br />
</span></div><div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><br />
</span></div><div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">A lorry haning a mass of 1.5t is travel-ling along a level road at 72 km/h. when the brakes are applied, the speed decreases to 18 km/h. determine how much the kinetic enegy of the lorry is reduced.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal;"><br />
</div><div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><o:p><br />
</o:p></span></div><div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">Initial velocity of lorry, v1 <span style="mso-spacerun: yes;"> </span>= 72 km/h<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><br />
</span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>km <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>m<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>1h<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span>72<span style="mso-spacerun: yes;"> </span>−−−<span style="mso-spacerun: yes;"> </span>x <span style="mso-spacerun: yes;"> </span>1000<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>−−− <span style="mso-spacerun: yes;"> </span>x<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>−−−<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>H <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>km<span style="mso-spacerun: yes;"> </span>3600s<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><br />
</span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 4;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>72<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 3;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span>−−−<span style="mso-spacerun: yes;"> </span>= 20 m/s<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 3;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>3.6<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">Final velocity of lorry, v2 <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= 18<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 4;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>−−− = 5 m/s and<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 3;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>3.6<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">Mass of lorry , m <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= 1.5t = 1500 kg<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">Initial kinetic energy of the lorry<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>1<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>1<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 5;"> </span><span style="mso-spacerun: yes;"> </span>= −−− mv ² <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>−−−<span style="mso-spacerun: yes;"> </span>(1500)(20) ²<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 5;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>2<span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>¹<span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>2<span style="mso-tab-count: 3;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 144.0pt; margin-right: 0cm; margin-top: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= 300 kj<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">Final kinetic energy of the lorry <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>1<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>1<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 4;"> </span><span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span>−− <span style="mso-spacerun: yes;"> </span>mv²<span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span>−− ( 1500)(5) ²<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 4;"> </span><span style="mso-spacerun: yes;"> </span>2<span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>² <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>2<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 144.0pt; margin-right: 0cm; margin-top: 0cm; text-indent: 36.0pt;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span>= 18.75 kj<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;">Hence, the change in kinetic energy <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= 300 – 18.75<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-tab-count: 3;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span lang="EN-US" style="color: black; font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-SG;"><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 3;"> </span><span style="mso-tab-count: 2;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= 281.25 kj<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div>UNIKL MSIhttp://www.blogger.com/profile/08874604299600118567noreply@blogger.com0tag:blogger.com,1999:blog-3503174662597342703.post-87057706462039245142011-04-14T09:19:00.000-07:002011-04-14T09:24:32.439-07:00POST 2<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">A rod of mass </span><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">M=3KG</span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> and length </span><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">L=1.2m </span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> pivots about an axis, perpendicular to its length, which passes through one of its ends. What is the moment of inertia of the rod? Given that the rod's instantaneous angular velocity is </span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">60deg/s</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> what is its rotational kinetic energy?</span><span style="font-family: 'Times New Roman', serif; font-size: 13.5pt;"><o:p></o:p></span></span></div><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"> </span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">Answer:</span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">The moment of inertia of a rod of mass</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">M</span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">and length</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">L</span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">about an axis, perpendicular to its length, which passes through its midpoint is</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">I = (1/12)ML²</span></i><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">.</span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> This is a standard result. Using the parallel axis theorem, the moment of inertia about a parallel axis passing through one of the ends of the rod is</span></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><br />
</span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><br />
</span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">I¹ I + M ( L / 2)<i> ²=1/3 ML²</i><o:p></o:p></span></span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"><br clear="all" style="mso-special-character: line-break;" /> </span><span style="font-family: 'Times New Roman', serif; font-size: 12pt;"><o:p></o:p></span></span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">I¹ = 3 x 1.2<i>² =1.44 kg m²<o:p></o:p></i></span></span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span></i><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> −−−−−</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"></span></span><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: 18px;"> 3</span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> <br clear="all" style="mso-special-character: line-break;" /> </span><span style="font-family: 'Times New Roman', serif; font-size: 12pt;"><o:p></o:p></span></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">The instantaneous angular velocity of the rod is</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><span style="font-family: 'Times New Roman', serif; font-size: 12pt;"><o:p></o:p></span></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"><br />
</span></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">w = 60 x π = 1.047 rad/s</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"><o:p></o:p></span></span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> −−−<o:p></o:p></span></span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"> </span><span class="Apple-style-span" style="font-size: 18px;"> 180</span></span></div></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="font-family: 'Times New Roman', serif; font-size: 12pt;"><o:p></o:p></span></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;"><br />
</span></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">Hence, the rod's rotational kinetic energy is written <o:p></o:p></span></span><br />
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</span></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><br />
</span></div></div><div class="MsoNormal" style="line-height: normal; text-align: center;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">K = 1 I</span><span style="color: black; font-family: 'Times New Roman', serif; font-size: 13.5pt;">¹ w<i>² = </i>0.5 x 1.44 x 1.047<i>² </i>= 0.789 J</span><span style="font-family: 'Times New Roman', serif; font-size: 12pt;"><o:p></o:p></span></span></div></div><div class="MsoNormal" style="line-height: normal;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"> −<o:p></o:p></span></div></div><div class="MsoNormal" style="line-height: normal;"><div style="text-align: left;"><span class="Apple-style-span" style="font-family: 'Times New Roman', serif; font-size: medium;"> 2</span></div></div>UNIKL MSIhttp://www.blogger.com/profile/08874604299600118567noreply@blogger.com0tag:blogger.com,1999:blog-3503174662597342703.post-9370035385693391442011-03-16T21:44:00.001-07:002011-03-16T21:44:56.275-07:00APPLICATION<div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="color: red; font-family: Georgia, "Times New Roman", serif; font-size: large;"><b><span style="font-size: large;"><br />
</span></b></span></div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="color: red; font-family: Georgia, "Times New Roman", serif; font-size: large;"><b><span style="font-size: large;">Question 1.</span></b></span></div><div class="MsoNormal" style="color: #444444; font-family: Times, "Times New Roman", serif; font-size: medium;"><div style="margin: 0px;"><span class="Apple-style-span" style="font-size: large;"><br />
</span></div></div><div class="MsoNormal" style="font-family: Times, "Times New Roman", serif; font-size: medium;"><div style="margin: 0px;"><span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif;"><span class="Apple-style-span" style="color: blue; font-size: large;"><span class="hps" title="Click for alternate translations">How does</span> <span class="hps" title="Click for alternate translations">the movement</span> <span class="hps" title="Click for alternate translations">of the earth</span> <span class="hps" title="Click for alternate translations">affects</span> <span class="hps" title="Click for alternate translations">the distribution of</span> <span class="hps" title="Click for alternate translations">solar energy</span> <span class="hps" title="Click for alternate translations">in</span> <span class="hps" title="Click for alternate translations">the earth's surface?</span></span></span></span></div></div><br />
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</div></div><div class="MsoNormal"><div style="margin: 0px;"><span style="font-size: small;">Solution:</span></div><div style="margin: 0px;"><span style="font-size: small;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"><br />
</span></span></span></div><div style="margin: 0px;"><span style="font-size: small;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">These</span> <span class="hps" title="Click for alternate translations">two</span> <span class="hps" title="Click for alternate translations">phenomena</span> <span class="hps" title="Click for alternate translations">of circulation</span> <span class="hps" title="Click for alternate translations">of the earth</span> <span class="hps" title="Click for alternate translations">and</span> <span class="hps" title="Click for alternate translations">the earth's rotation</span> <span class="hps" title="Click for alternate translations">on</span> <span class="hps" title="Click for alternate translations">its </span></span></span><br />
<span style="font-size: small;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">axis</span> <span class="hps" title="Click for alternate translations">is the</span> <span class="hps" title="Click for alternate translations">variation</span> <span class="hps" title="Click for alternate translations">of</span> <span class="hps" title="Click for alternate translations">solar</span> <span class="hps" title="Click for alternate translations">influence</span> <span class="hps" title="Click for alternate translations">on the</span> <span class="hps" title="Click for alternate translations">earth surface. </span></span></span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">he earth's rotation</span> </span><br />
<span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">axis</span> <span class="hps" title="Click for alternate translations">tilt of</span> <span class="hps" title="Click for alternate translations">the</span> <span class="hps" title="Click for alternate translations">angle</span> <span class="hps" title="Click for alternate translations">231 / 2</span> <span class="hps" title="Click for alternate translations">degrees</span> <span class="hps" title="Click for alternate translations">is</span> <span class="hps" title="Click for alternate translations">causing </span><span class="hps" title="Click for alternate translations">the phenomenon of</span> <span class="hps" title="Click for alternate translations">day</span> <span class="hps" title="Click for alternate translations">and</span> </span><br />
<span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">night</span> <span class="hps" title="Click for alternate translations">occur. </span></span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">Earth</span> <span class="hps" title="Click for alternate translations">takes</span> <span class="hps" title="Click for alternate translations">24</span> <span class="hps" title="Click for alternate translations">hours</span> <span class="hps" title="Click for alternate translations">to</span> <span class="hps" title="Click for alternate translations">make</span> <span class="hps" title="Click for alternate translations">one</span> <span class="hps" title="Click for alternate translations">complete</span> <span class="hps" title="Click for alternate translations">rotation</span><span title="Click for alternate translations">.</span> <span class="hps" title="Click for alternate translations">The Earth </span></span><br />
<span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"></span><span class="hps" title="Click for alternate translations">rotates</span> <span class="hps" title="Click for alternate translations">west to</span> <span class="hps" title="Click for alternate translations">east</span><span title="Click for alternate translations">.</span> <span class="hps" title="Click for alternate translations">The surface</span> <span class="hps" title="Click for alternate translations">of the earth</span> <span class="hps" title="Click for alternate translations">facing</span> <span class="hps" title="Click for alternate translations">the sun</span> <span class="hps" title="Click for alternate translations">during the day</span> <span class="hps" title="Click for alternate translations">and</span> </span><br />
<span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">would</span> <span class="hps" title="Click for alternate translations">have</span> <span class="hps" title="Click for alternate translations">received</span> <span class="hps" title="Click for alternate translations">a</span> <span class="hps" title="Click for alternate translations">lot of</span> <span class="hps" title="Click for alternate translations">solar</span> <span class="hps" title="Click for alternate translations">energy distribution </span><span class="hps" title="Click for alternate translations">compared</span> <span class="hps" title="Click for alternate translations">with</span> <span class="hps" title="Click for alternate translations">that</span></span><br />
<span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"></span> <span class="hps" title="Click for alternate translations">experienced</span> <span class="hps" title="Click for alternate translations">on earth</span> <span class="hps" title="Click for alternate translations">during the night</span><span title="Click for alternate translations">.</span></span></div></div></td></tr>
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</span></div></div><div class="MsoNormal"><div style="font-size: medium; line-height: normal; margin: 0px;"><div style="text-align: left;"><span class="Apple-style-span" style="font-size: large;"><span style="color: red; font-size: large;"><b style="font-family: Georgia, "Times New Roman", serif;"> Question</b></span><span style="font-family: "Times New Roman", serif;"><span style="color: red; font-size: large;"><b><span style="font-family: Georgia, "Times New Roman", serif;"> 2.</span></b></span></span></span></div></div><div style="margin: 0px;"><br />
<div style="text-align: center;"><span class="Apple-style-span" style="color: red; font-family: Georgia, "Times New Roman", serif; font-size: large; font-weight: bold;"><br />
</span></div><span class="Apple-style-span" style="font-size: large; line-height: normal;"><span style="color: red; font-size: large;"><b><span style="font-family: Georgia, "Times New Roman", serif;"></span></b></span><span style="background-color: white; color: blue; font-family: "Times New Roman", serif; font-size: large;">How rotation engine work?</span></span></div></div><br />
<table border="0" cellpadding="0" class="MsoNormalTable" style="font-size: medium;"><tbody></tbody></table><br />
<div class="MsoNormal" style="background-color: cyan; line-height: normal;"><div style="font-size: medium; margin: 0px;"><span class="Apple-style-span" style="font-size: large;"><b><span style="font-family: "Times New Roman", serif; font-size: 12pt;">Solution</span></b><span style="font-family: "Times New Roman", serif; font-size: 12pt;"> </span></span></div><div style="font-size: medium; margin: 0px;"><span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"><br />
</span></span></span></div><div style="font-size: medium; margin: 0px;"><span class="Apple-style-span" style="font-size: large;"><span style="font-family: "Times New Roman", serif; font-size: 12pt;"></span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">Rotation</span> <span class="hps" title="Click for alternate translations">engine</span> <span class="hps" title="Click for alternate translations">is a</span> <span class="hps" title="Click for alternate translations">type</span> <span class="hps" title="Click for alternate translations">of internal</span> <span class="hps" title="Click for alternate translations">combustion engines</span> <span class="hps" title="Click for alternate translations">that</span> <span class="hps" title="Click for alternate translations">use </span><span class="hps" title="Click for alternate translations">design</span> <span class="hps" title="Click for alternate translations">to</span> <span class="hps" title="Click for alternate translations">change</span></span></span><br />
<span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"> the</span> <span class="hps" title="Click for alternate translations">rotation of</span> <span class="hps" title="Click for alternate translations">the pressure</span> <span class="hps" title="Click for alternate translations">of combustion</span> <span class="hps" title="Click for alternate translations">air</span><span class="atn" title="Click for alternate translations">-</span><span title="Click for alternate translations">fuel</span><span class="hps" title="Click for alternate translations">mixture</span> <span class="hps" title="Click for alternate translations">directly</span> <span class="hps" title="Click for alternate translations">to the</span> <span class="hps" title="Click for alternate translations">rotational</span> <span class="hps" title="Click for alternate translations">motion</span><span title="Click for alternate translations">,</span></span></span><br />
<span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span title="Click for alternate translations"></span> <span class="hps" title="Click for alternate translations">unlike</span> <span class="hps" title="Click for alternate translations">ordinary</span> <span class="hps" title="Click for alternate translations">piston </span><span class="hps" title="Click for alternate translations">engine</span> <span class="hps" title="Click for alternate translations">which produces</span> <span class="hps" title="Click for alternate translations">a reciprocating</span> <span class="hps" title="Click for alternate translations">motion</span> <span class="hps" title="Click for alternate translations">before</span></span></span><br />
<span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"> being transferred</span> <span class="hps" title="Click for alternate translations">to the</span> <span class="hps" title="Click for alternate translations">rotational</span> <span class="hps" title="Click for alternate translations">movement</span> <span class="hps" title="Click for alternate translations">of</span> <span class="hps" title="Click for alternate translations">the crankshaft</span><span title="Click for alternate translations">.</span> <span class="hps" title="Click for alternate translations">In the</span> <span class="hps" title="Click for alternate translations">four-stroke cycle</span></span></span><br />
<span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"></span> <span class="hps" title="Click for alternate translations">engine</span> <span class="hps" title="Click for alternate translations">generated</span> <span class="hps" title="Click for alternate translations">in</span> <span class="hps" title="Click for alternate translations">the</span> <span class="hps" title="Click for alternate translations">space</span> <span class="hps" title="Click for alternate translations">between</span> <span class="hps" title="Click for alternate translations">the housing </span><span class="hps" title="Click for alternate translations">shaped</span> <span class="hps" title="Click for alternate translations">like</span> <span class="hps" title="Click for alternate translations">oval</span> <span class="hps" title="Click for alternate translations">epitrokoid</span></span></span><br />
<span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"></span> <span class="hps" title="Click for alternate translations">the</span> <span class="hps" title="Click for alternate translations">triangular</span> <span class="hps" title="Click for alternate translations">rotor</span><span title="Click for alternate translations">.</span> <span class="hps" title="Click for alternate translations">This design </span><span class="hps" title="Click for alternate translations">produces</span> <span class="hps" title="Click for alternate translations">a</span> <span class="hps" title="Click for alternate translations">smooth</span> <span class="hps atn" title="Click for alternate translations">high-</span><span title="Click for alternate translations">rpm</span> <span class="hps" title="Click for alternate translations">power</span> <span class="hps" title="Click for alternate translations">from</span> <span class="hps" title="Click for alternate translations">a</span> <span class="hps" title="Click for alternate translations">compact</span></span></span><br />
<span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations"></span> <span class="hps" title="Click for alternate translations">and</span> </span></span><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span class="hps" title="Click for alternate translations">lightweight </span><span class="hps" title="Click for alternate translations">engine</span><span title="Click for alternate translations">.</span></span></div><div style="font-size: medium;"><span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="font-family: arial, sans-serif; font-size: 16px;"><span title="Click for alternate translations"><br />
</span></span></span></div><div style="font-size: medium; margin: 0px;"><span class="Apple-style-span" style="font-size: large;"><span class="Apple-style-span" style="color: #888888; font-family: arial, sans-serif; font-size: 13px;"></span></span></div></div>UNIKL MSIhttp://www.blogger.com/profile/08874604299600118567noreply@blogger.com0tag:blogger.com,1999:blog-3503174662597342703.post-56144191438575745292011-01-30T21:17:00.000-08:002011-03-01T19:51:30.302-08:00GROUP NAME<m:smallfrac m:val="off"> <m:dispdef> <m:lmargin m:val="0"> <m:rmargin m:val="0"> <m:defjc m:val="centerGroup"> <m:wrapindent m:val="1440"> <m:intlim m:val="subSup"> <m:narylim m:val="undOvr"> </m:narylim></m:intlim> </m:wrapindent> </m:defjc></m:rmargin></m:lmargin></m:dispdef></m:smallfrac><br />
<div class="MsoNormal" style="font-family: Georgia, 'Times New Roman', serif;"><div class="separator" style="clear: both; text-align: center;"><a href="http://www.freewebs.com/unikl/images/unikl_logo.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="170" src="http://www.freewebs.com/unikl/images/unikl_logo.gif" width="400" /></a></div><ul><li><br />
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</ul><span class="Apple-style-span" style="font-family: 'Times New Roman';"><span class="Apple-style-span" style="font-family: 'Courier New', Courier, monospace; font-size: x-large;"><b><b><span class="Apple-style-span"><b><span class="Apple-style-span"><span class="Apple-style-span" style="font-weight: normal;"><b><span class="Apple-style-span" style="color: #0b5394;"> GROUP</span><span class="Apple-style-span" style="color: #3d85c6;">:</span></b></span></span></b></span></b></b></span><span class="Apple-style-span" style="font-family: 'Courier New', Courier, monospace; font-size: x-large;"><b><span class="Apple-style-span" style="font-weight: normal;"><b><b><span class="Apple-style-span"><b><span class="Apple-style-span" style="color: #274e13;"><span class="Apple-style-span" style="font-weight: normal;"><b><i>ENGSCIENSE</i></b></span></span></b></span></b></b></span></b></span></span><br />
<div><div class="separator" style="clear: both; color: red; text-align: center;"><a href="http://www.danlockton.co.uk/research/images/textbook.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="285" src="http://www.danlockton.co.uk/research/images/textbook.jpg" width="400" /></a></div><div class="separator" style="clear: both; color: red; text-align: center;"><br />
</div><div class="separator" style="clear: both; color: red; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><span class="Apple-style-span" style="font-family: times, serif;"></span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="font-size: large;">1) </span><span class="Apple-style-span" style="color: lime; font-size: large;">Amirul Akhmar B Mohd Sabri</span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="color: lime; font-size: large;"><br />
</span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="font-size: large;">2) </span><span class="Apple-style-span" style="color: cyan; font-size: large;">Mohammad Anuar Fitri B Sahimi</span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="color: cyan; font-size: large;"><br />
</span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="font-size: large;">3)</span><span class="Apple-style-span" style="color: blue; font-size: large;"> Mohammad Shafiqal Bin Mat Saad</span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="color: blue; font-size: large;"><br />
</span></div><div style="margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px;"><span class="Apple-style-span" style="font-size: large;">4)</span><span class="Apple-style-span" style="color: purple; font-size: large;"> Mohammad Syafiq <span class="yshortcuts" id="lw_1298994027_1">Fitri</span> Bin Shaarani</span></div><br />
<div style="color: red;"><span class="Apple-style-span" style="font-size: large;"><b><br />
</b></span></div></div></div>UNIKL MSIhttp://www.blogger.com/profile/08874604299600118567noreply@blogger.com0