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NEET 2003 (AIPMT) · Rolling Motion

Rolling Motion question from NEET 2003 (AIPMT)

Q86NEET 2003 · AIPMTEasy

Rolling Motion

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom?

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Answer: (c)

$Mgh = \frac{1}{2}Mv^2\left(1 + \frac{k^2}{R^2}\right)$
Solid cylinder: $\frac{k^2}{R^2} = \frac{1}{2}$ , so $Mgh = \frac{3}{4}Mv^2$
$v = \sqrt{\frac{4}{3}gh}$
So the answer is (c) $\sqrt{\frac{4}{3}gh}$ .

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