Two blocks  $m_1=5\text{ kg}and m_2=10\text{ kg}$ are hung vertically over a light frictionless pulley as shown here. What is the acceleration of the masses when they are left free?

Two blocks of $7 \mathrm{kg}$ and $5 \mathrm{kg}$ are connected by a heavy rope of mass $4 \mathrm{kg}$. An upward force of $200 \mathrm{N}$ is applied as shown in the diagram. The tension at the top of heavy rope at the point $P$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$,

Two bodies of $5 \mathrm{kg}$ and $4 \mathrm{kg}$ are tied to a string as shown in the figure. If the table and the pulley both are smooth, then the acceleration of $5 \mathrm{kg}$ body will be equal to

Two blocks are connected by a cord passing over a small frictionless pulley and resting on frictionless planes as shown in the figure. The acceleration of the block is (assume $g=10 \mathrm{m} {\mathrm{s}}^{-2}$),

An uniform rope of length $L$ and mass $M$ is placed on a smooth fixed wedge as shown in the figure. Both ends of the rope are at the same horizontal level. If the rope is initially released from rest, then the magnitude and the initial acceleration of the rope is