Rotational MotionHard

Question

In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then
                                       

Options

A.the speed of the centre of mass of the cylinder is 2v
B.the speed of the centre of mass of the cylinder is zero
C.the angular velocity of the cylinder is v/R
D.the angular velocity of the cylinder is zero

Solution

Angular velocity is ω = . As the top point of cylinder is moving with velocity v so centre of mass have zero velocity.

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