First slide

Torque

Question

A uniform disc of mass ‘m’ and radius ‘r’ rotates along an axis passing through its centre of mass and normal to its plane. An unstretchable light rope is wound on the disc. Tangential acceleration of a point P on peripheral of the disc when a uniform force F is applied on the rope is

Moderate

A

F/2m
B

2Fmr
C

F/m
D

2F/m

Solution

$\large rF=I\alpha\Rightarrow rF=\left ( \frac {mr^2}{2} \right )\frac ar\Rightarrow a=2F/m$

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