Question

Two blocks are arranged as shown in figure. Assuming the surfaces and the pulleys $P_1$ and $P_2$ are all smooth and pulleys and string are light, if the acceleration of the block $B$ is found to be $\frac{nF}{17m}m/s^2$ surface is replaced by block $C$ of mass $m$ as shown in the figure. In this case the acceleration of block $B$ is found to be $a=\frac{nF}{21m}m/s^2$. The value of $n$ is___.

Answer 1

Answer: 3

Constrain equation $2a+3b+c$ ...(1)
$F-2T=2ma$ ...(2)
$T=mc$ ...(3)
$3T=4mb$ ...(4)
On solving above four equation
$b=\frac{3F}{21m}m/s^2$