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Q.

A block of mass m, connected to a light string wrapped over a disc pulley of mass 2 m and radius 2r, is being pulled by a constant horizontal force F as shown. Tangential acceleration of a point distant r from the axis of pulley is (Assume that there is no slipping between the string and the pulley)

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a

Fm

b

F2m

c

F4m

d

2F3m

answer is C.

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Detailed Solution

F−T=maT×2r=2m×4r22×a2rF=2maat=F2m=α×2rα=F4mratr=αr=F4mr×r=F4m
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