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Asked by jhajuhi19 | 29 Aug, 2019, 10:14: AM
answered-by-expert Expert Answer
Let the system of three blocks of mass m1 , m2 and m3  move with acceleration a due to applied force F.
 
Then acceleration is given by,   a = F/(m1 + m2 + m3 )  ......................(1)
 
Let us find the normal force across the contact surface between m2 and m3 from the free body diagram of mass m3 as shown from figure.
 
N = m3 a   =  m3 × [ F / (m1 + m2 + m3 ) ]  ...................(2)
 
Now as shown in free body diagram of mass m2 , block of mass m2 will not slip if μN ≥ m2 g
 
hence,  μ m3 × [ F / (m1 + m2 + m3 ) ] ≥ m2 g   or   F ≥ (m1 + m2 + m3 ) [ m2 g / ( μ m3 ) ]
Answered by Thiyagarajan K | 29 Aug, 2019, 14:05: PM

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