Laws Of Motion Question 103

Question: A body B lies on a smooth horizontal table and another body A is placed on B. The coefficient of friction between A and B is $ \mu $ . What acceleration given to B will cause slipping to occur between A and B

Options:

A) $ \mu g $

B) $ g/\mu $

C) $ \mu /g $

D) $ \sqrt{\mu g} $

Show Answer

Answer:

Correct Answer: A

Solution:

There is no friction between the body B and surface of the table. If the body B is pulled with force F then $ F=(m _{A}+m _{B})a $ Due to this force upper body A will feel the pseudo force in a backward direction. $ f=m _{A}\times a $ But due to friction between Aand B, body will not move. The body A will start moving when pseudo force is more than friction force.i.e. for slipping, $ m _{A}a=\mu \ m _{A}g $

$ \therefore $ $ a=\mu g $



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