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Q.

Two bodies of masses m and 4m are attached to a light string as shown in Fig. A body of mass m hanging from string is executing oscillations with angular amplitude 60°, while other body is at rest on a horizontal surface. The minimum coefficient of friction between mass Am and the horizontal surface is (here pulley is light and smooth)

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a

14

b

34

c

12

d

18

answer is C.

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Detailed Solution

Velocity at lowest position = 2gl(1−cos60o)=gl

T=mg+mV2l=mg+mlgl=2mg, T=μ4mg⇒μ=12

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