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There block A B ,and C of equal mass m a...

There block A B ,and C of equal mass `m` are placed one over the other on a frictionless surface (table) as shown in figure The coefficient of friction between any blocks A ,B and C is `mu` The maximum value of mass of block D so that the blocks A,B and C move without slipping over each other is

A

`(3m mu)/(mu+1)`

B

`(3m(1-mu))/(mu)`

C

`(3m(1+mu))/(mu)`

D

`(3mu)/((1-mu))`

Text Solution

Verified by Experts


Solving we get,
`M_(D)g=(M_(D)+3m)a`
The maximum value of acceleration `=mug`
`rArr M_(D)g=(M_(D)+3m)mug`
`M_(D)=(3m mu)/(1-mu)`
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