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Question: A body B lies on a smooth horizontal table and another body A is placed on B. The coefficient of fri...

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 μ\mu . What acceleration given to B will cause slipping to occur between A and B

A

μg\mu g

B

g/μg / \mu

C

μ/g\mu / g

D

μg\sqrt { \mu g }

Answer

μg\mu g

Explanation

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=(mA+mB)aF = \left( m _ { A } + m _ { B } \right) a

Due to this force upper body A will feel the pseudo force in a backward direction.

But due to friction between A and B, body will not move. The body A will start moving when pseudo force is more than friction force.