A truck of mass $M$ is at rest on frictionless road when a monkey of mass $m$ starts moving on the truck in forward direction.If the truck recoils with a speed $v$ backward on the road, with what velocity is the monkey moving with respect to truck ?

- A
$\left( {1 + \frac{m}{M}} \right)\,v$

- B
$\left( {1 + \frac{M}{m}} \right)\,v$

- C
$\frac{{mV}}{{(M + m)}}$

- D
$\frac{{MV}}{{(m + M)}}$

A man of mass $60\ kg$ is standing on a platform of mass $40\ kg$ as shown in figure then what force man should apply on rope so that he accelerate up with the platform with acceleration of $2\ m/s^2$ ............ $N$

Three blocks $A, B$ and $C$ are suspended as shown in the figure. Mass of each blocks $A$ and $C$ is $m$. If system is in equilibrium and mass of $B$ is $M$, then :

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

If block $A$ has a velocity of $0.6\,m / s$ to the right, determine the velocity of block $B$.

In the figure shown the block $B$ moves down with a velocity $10 m/s$. The velocity of $A$ in the position shown is ......... $m/s$