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)

Question

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)

Infinity Learn · Accepted Answer

Maximum acceleration $$=$$μg⇒ω$$2a=$$μg⇒$$a=$$μ$$gT24$$$$π$$$$2$$

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