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 $
