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Question

A force F is applied at the top of a ring of mass M and radius R placed on a rough
horizontal surface as shown in figure. Friction is sufficient to prevent slipping. The friction force acting on the ring is


Your Answer
A
F2 towards right
Your Answer
B
F3 towards left
Your Answer
C
2F3 towards right
Correct Answer
D
zero

Solution

The correct option is C zero
Let F’ be the friction on the ring towards right, a its linear acceleration and α the angular 
acceleration about center of mass. Point of contact P is momentarily as rest i.e., ring will rotate
about P.
α=TpIp=F(2R)2MR2=FMRnow F+F=Ma=MRα=For F=0

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