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Q.

Fig. shows an object of mass 50 gm placed on a rough horizontal surface. The surface together with the block on it is performing simple harmonic motion along the horizontal with a time period 0.5 sec. Coefficient of friction between the block and to surface is 25. Maximum amplitude of such that the object does not slip along the surface is: (g=10 m/s2)

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a

6 cm

b

8.5 cm

c

2.5 cm

d

1.2 cm

answer is C.

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Detailed Solution

Maximum acceleration =μg⇒ω2a=μg⇒a=μgT24π2
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