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Question

A body of mass m and radius R is rotating with angular velocity ω as shown in figure and kept on a surface that has sufficient friction. Then, the body will move:


A
initially in backward direction, then along forward direction
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B
initially in forward direction, then along backward direction
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C
will always move along forward direction.
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D
none of these
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Solution

The correct option is C will always move along forward direction.
ω is in clockwise direction, hence kinetic friction (fk) will act along forward direction to prevent slipping, by opposing rotational motion.


Hence, velocity V of body will start increasing and ω starts decreasing
V=ωR condition will be achieved after some time t, thereafter slipping will cease and pure rolling is maintained.
Once pure rolling is established, fk will disappear and body will continue to move along forward direction with constant velocity.
Option C is correct.

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