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Q.

A smooth semicircular wire track of radius R is fixed in a vertical plane. One end of massless spring of natural length 3R4  is attached to the lowest point O of the wire track. A small ring of mass m which can slide on the track is attached to the other end of the spring. The ring is held stationary at point P such that the spring makes an angle of 60º with the vertical. The spring constant is K=mgR.Considering the instance when the ring is released , the free body diagram of the ring, when aT is tangential acceleration, F is restoring force and N is normal reaction is

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a

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b

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c

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d

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answer is C.

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Detailed Solution

free body diagram is 

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