A cylindrical drum, pushed along by a board rolls forward on the ground. There is no slipping at any contact. The distance moved by the man who is pushing the board, when axis of the cylinder covers a distance L will be

Question

Infinity Learn · Accepted Answer

Let $$v0$$ be the linear speed of the axis of the cylinder and ω be its angular speed about the axis. As it does not slip on the ground hence ω $$=$$ $$v0R$$. Where R is the radius of the cylinder.  Speed of the topmost point is v $$=$$ $$v0+$$ωR $$=$$ $$2v0Since$$ time taken by the axis to move a distance L is equal to t $$=$$ $$Lv0$$.In the same interval of time distance moved by the topmost point is S $$=$$ $$2v0$$×$$Lv0$$ $$=$$ $$2L$$

A cylindrical drum, pushed along by a board rolls forward on the ground. There is no slipping at any contact. The distance moved by the man who is pushing the board, when axis of the cylinder covers a distance L will be

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