If $m_1 = 4m_2$,what is the acceleration of $m_2$? The acceleration of $m_1$ is $a$.

In the adjoining figure,if the acceleration of the wedge $M$ with respect to the ground is $a$,then:

The velocity of end $A$ of a rigid rod placed between two smooth perpendicular walls moves with velocity $u$ along the vertical direction. Find the velocity of end $B$ of the rod,given that the rod always remains in contact with the walls.

If the acceleration of block $A$ is $2\,m/s^2$ to the left and the acceleration of block $B$ is $1\,m/s^2$ to the left,then find the acceleration of block $C$.

The pulleys in the diagram are all smooth and light. The acceleration of $A$ is $a$ upwards and the acceleration of $C$ is $f$ downwards. The acceleration of $B$ is

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 $B$.