Three blocks A, B and C of equal mass m are placed one over the other on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A, B and C is ½. The maximum value of mass of block D so that the blocks A, B and C move without slipping over each other is –
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Blocks A and C both move due to friction. But less friction is available to A as compared to C because normal reaction between A and B is less. Maximum friction between A and B can be:
f max = µ m A g = 
mg
Maximum acceleration of A can be:
a max = 
= 
further a max = 
or 
= 
or m D = 3m
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