A body of mass $8 \mathrm{kg}$ is hanging from another body of mass $12 \mathrm{kg}$. The combination is being pulled by a string with an acceleration of $2.2 \mathrm{m} {\mathrm{s}}^{–2}$. The tension $T_1$ and $T_2$ will be respectively: (use $g=9.8 \mathrm{m} {\mathrm{s}}^{-2}$)

A heavy block kept on a frictionless surface and being pulled by two ropes of equal mass $m$ as shown in figure. At $t=0$, the force on the left rope is withdrawn but the force on the right end continues to act. Let $F_1$ and $F_2$ be the magnitudes of the forces by the right rope and the left rope on the block, respectively.

A block is dragged on smooth plane with the help of a rope which moves with velocity $v$. The horizontal velocity of the block is

Two masses are connected by a string which passes over a pulley accelerating upward at a rate $A$ as shown. If $a_1$ and $a_2$ be the acceleration of bodies $1$ and $2$, respectively, then:

In the arrangement shown in figure. the ends $P$ and $Q$ of an unstretchable string move downwards with uniform speed $U$. Pulleys $A$ and $B$ are fixed. Mass $M$ moves upwards with a speed.

A system is shown in the figure. A man standing on the block is pulling the rope. Velocity of the point of string in contact with the hand of the man is $2 \mathrm{m} {\mathrm{s}}^{-1}$ downwards. The velocity of the block will be: [Assume that the block does not rotate]

A rod $AB$ is shown in figure. End $A$ of the rod is fixed on the ground. Block is moving with velocity $\sqrt{3} \mathrm{m} {\mathrm{s}}^{-1}$ towards right. The velocity of end $B$ of rod when rod makes an angle of $60°$ with the ground is:

System is shown in figure and wedge is moving towards left with speed $2 \mathrm{m} {\mathrm{s}}^{-1}$. Then velocity of the block $B$ will be: