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
$\frac{1} {2} (f-a) $up
$\frac{1} {2}(a + f)$ down
$\frac{1} {2}(a + f)$ up
$\frac{1} {2}(a - f)$ up
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 balloon of mass $m$ is descending down with an acceleration $\frac{g}{2}$. How much mass should be removed from it so that it starts moving up with same acceleration?
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)
Two blocks of same mass $(4\ kg)$ are placed according to diagram. Initial velocities of bodies are $4\ m/s$ and $2\ m/s$ and the string is taut. Find the impulse on $4\ kg$ when the string again becomes taut .......... $N-s$
At a given instant, $A$ is moving with velocity of $5\,\,m/s$ upwards.What is velocity of $B$ at that time