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
$v$
$\frac{v}{{\sin \,\theta }}$
$v\, sin\,\theta$
$\frac{v}{{\cos \,\theta }}$
In the system shown in figure pulleys and strings are ideal. Acceleration of $m_1\ w.r.t.\ m_2$ is $(m_1 = 2\ kg\ ; m_2 = 2\ kg)$
A uniform metal chain of mass $m$ and length ' $L$ ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' $l$ ' is hanging on one side and rest of its length ' $L -l$ ' is hanging on the other side of the pulley. At a certain point of time, when $l=\frac{L}{x}$, the acceleration of the chain is $\frac{g}{2}$. The value of $x$ is ........
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 ?