Question

In the arrangement shown in the figure mass of the block A and body B are 2m, 8m respectively .The surface between B and floor is smooth. The body B is connected to block C by means of pulley. If the whole system is released then the minimum value of mass of the block C so that the block A remains stationary with respect to B is (Coefficients of friction between A and B is $\mu$)

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

For body to be relatively at rest $a_{m}in$=$\frac{g}{\mu }$ And from 2 nd law $a_{m}in$=$\frac{\left(M\right)g}{M+10m}$
Solving the above equations M = $\frac{10m}{\mu -1}$