In the figure shown the velocity of lift is $2\,m / s$ while string is winding on the motor shaft with velocity $2\,m / s$ and block $A$ is moving downwards with a velocity of $2\,m / s$, then find out the velocity of block $B -$
$2\,m / s \uparrow$
$2\,m / s \downarrow$
$4\,m / s \uparrow$
None of these
If acceleration of $A$ is $2 \,\,m/s^2$ to left and acceleration of $B$ is $1\,\,m/s^2$ to left, then acceleration of $C$ is
A block is dragged on a smooth plane with the help of a rope which moves with a velocity $v$ as shown in figure. The horizontal velocity of the block is
In the figure shown the velocity of different blocks is shown. The velocity of $C$ is $.........\,m/s$
The velocities of $A$ and $B$ are marked in the figure. The velocity of block $C$ is ......... $m/s$ (assume that the pulleys are ideal and string inextensible)
A block of mass $M$ is tied to one end of massless rope. The other end of rope is in the hands of a man of mass $2M$ as show in figure. Initially the block and the man are resting on a rough plank of mass $2M$ as shown in figure. The whole system is resting on a smooth horizontal surface. The man pulls the rope. Pulley is massless and frictionless. What is the magnitude of displacement of the plank when the block meets the pulley ......... $m $ (Man does not leave his position on the plank during the pull).