A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $v$ in the direction shown, which one of the following options is correct ( $P$ and $Q$  are any highest and lowest points on the wheel, respectively)?

 

Correct Option - 4


Detailed Solution:

In the case of pure rolling,

The topmost point will have velocity $2v$ while point $Q$ i.e. the lowest point will have zero velocity. Hence point $P$ moves faster than point $Q$ .

 

<p><span lang="EN-IN">In the case of pure rolling, </span></p><div class="photo-widget-full"><div class="figure"><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1754905823phpxUlzkj.jpeg" alt="" width="300" height="152" loading="lazy"></picture></div><div class="figure"><p><span lang="EN-IN">The topmost point will have velocity <span class="mathml" contenteditable="false"> <math> <mrow> <mn>2</mn> <mi>v</mi> </mrow> </math> </span> while point <span class="mathml" contenteditable="false"> <math> <mrow> <mi>Q</mi> </mrow> </math> </span> i.e. the lowest point will have zero velocity. Hence point <span class="mathml" contenteditable="false"> <math> <mrow> <mi>P</mi> </mrow> </math> </span> moves faster than point <span class="mathml" contenteditable="false"> <math> <mrow> <mi>Q</mi> </mrow> </math> </span>.</span></p></div></div><p>&nbsp;</p>

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