Find the acceleration of $B$.

Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.

Blocks $A$ (mass $2m$),$B$ (mass $4m$),and $C$ (mass $m$) are arranged as shown in the figure. $A$ force $F$ is applied to block $A$. Find the acceleration of block $B$.

Two particles $A$ and $B$ are connected by a rigid rod $AB$. The rod slides along perpendicular rails as shown in the figure. The velocity of $A$ to the left is $10\; m/s$. What is the velocity of $B$ (in $m/s$) when the angle $\alpha = 60^{\circ}$?

For the given diagram,when block $B$ is pulled with velocity $V$,the velocity of block $A$ will be:

In the pulley system shown in the figure,the mass of $A$ is half of that of $\text{rod } B$. The rod length is $500 \text{ cm}$. The mass of pulleys and the threads may be neglected. The mass $A$ is set at the same level as the lower end of the rod and then released. After releasing the mass $A$,it would reach the top end of the rod $B$ in time (Assume $g=10 \text{ m/s}^2$): (in $\text{ s}$)