Three blocks are connected as shown in fig. on a horizontal frictionless table if m₁ = 1 kg, m₂ = 8 kg, m₃ = 27 kg and T₃ = 36N, T₂ will be :-

                           

Two bodies of masses 5 kg and 4 kg are arranged in two different ways as shown in fig. (A) and (B). If the pulleys and the table are perfectly smooth,  the acceleration of the 5 kg body in case (A) and (B) are respectively :-

Three equal weights each of mass 4 kg are hanging on a string passing over a fixed pulley as shown in fig. What is the tension in the string connecting weights B and C.

Two blocks each of mass M are resting on a frictionless inclined planes as shown in fig. then :

Two blocks each having a mass M are placed as shown in the figure. The acceleration of the system is :-

Two masses of 10 kg and 20 kg respectively are connected by a massless spring as shown in the figure. A force of 200 N acts on the 20 kg mass. At the instant shown the 10 kg mass has an acceleration 4 m/s² rightwards. What is the acceleration of 20 kg mass ?

The pulley arrangements shown in the figure are identical, the mass of the rope being negligible. In case (a) mass m is lifted by attaching a mass of 2m to the other end of the rope. In case (b) the mass m is lifted by pulling the other end of the rope with a constant downward force F = 2mg, where g is the acceleration due to gravity. The acceleration of mass m in case (a) is :-

Three masses of $1 \mathrm{kg}$, $6 \mathrm{kg}$ and $3 \mathrm{kg}$ are connected to each other with threads and are placed on a table as shown in the figure. What is the acceleration with which the system is moving? (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

The surface is frictionless, the ratio of $T_1$ and $T_2$ is