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</div><h2>SL Paper 3</h2><div class="specification">
<p>A wheel of mass 0.25 kg consists of a cylinder mounted on a central shaft. The shaft has a radius of 1.2 cm and the cylinder has a radius of 4.0 cm. The shaft rests on two rails with the cylinder able to spin freely between the rails.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_16.44.54.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/06"></p>
</div>
<div class="specification">
<p>The stationary wheel is released from rest and rolls down a slope with the shaft rolling on the rails without slipping from point A to point B.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_16.47.09.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/06.a"></p>
</div>
<div class="specification">
<p>The wheel leaves the rails at point B and travels along the flat track to point C. For a short time the wheel slips and a frictional force <em>F </em>exists on the edge of the wheel as shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_16.49.45.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/06.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The moment of inertia of the wheel is 1.3 × 10<sup>–4</sup> kg m<sup>2</sup>. Outline what is meant by the moment of inertia.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In moving from point A to point B, the centre of mass of the wheel falls through a vertical distance of 0.36 m. Show that the translational speed of the wheel is about 1 m s<sup>–1</sup> after its displacement.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the angular velocity of the wheel at B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the effect of <em>F </em>on the linear speed of the wheel.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the effect of <em>F </em>on the angular speed of the wheel.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br>