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JEE Main 2014 · Rotational Kinematics & Dynamics

Rotational Kinematics & Dynamics question from JEE Main 2014

Q69JEE Main 2014Medium

Rotational Kinematics & Dynamics

A mass $'m'$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R.$ If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

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Answer: (b)

Hollow cylinder: $I = mR^2$ , so $T = \frac{I a}{R^2} = ma$ .
Block: $mg - T = ma \Rightarrow mg = 2ma$
So the answer is (b) $\frac{g}{2}$ .

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