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
A ladder rests against a frictionless vertical wall, with its upper end $6\,m$ above the ground and the lower end $4\,m$ away from the wall. The weight of the ladder is $500 \,N$ and its C. G. at $1/3^{rd}$ distance from the lower end. Wall's reaction will be, (in Newton)
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?
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).
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 ?
If block $A$ is moving with an acceleration of $5\,m/s^2$, the acceleration of $B$ w.r.t. ground is