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Three blocks A,B and C of equal mass m a...

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 1/2. the maximum value of mass of block D so that the blocks A,B and C move without slippping over each other is

A

6m

B

5m

C

3m

D

4m

Text Solution

Verified by Experts

The correct Answer is:
C
`f_("max")` between A and B is mg/2, can provide acceleration = g//2 to A and `f_("max")` between B and C is 2mg/2, can provide acceleration = g to c
`implies` max acceleration if they move together as on body = g/2
`implies T = 3m. (g)/(2)` and `Mg - T = (Mg)/(2) implies M = 3m`
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