Two blocks, each having, mass 20 kg, rest on a frictionless surface as shown in Fig
. Assuming the pulleys to be light and frictionless, calculate acceleration of the system. assume `sin theta= 3//5`

Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released.

Two blocks M_1 and M_2 having equal mass are free to move on a horizontal frictionless surface. M_2 is attached to a massless spring as shown in the figure. Initially M_2 is at rest and M_1 is moving towards M_2 with speed v and collides head-on with M_2

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine maximum acceleration of the mass,

A block of mass M is places in the top of a biggr block of mass 10 M as shown in fig.All the surfaces are frictionless.The system is released from rest.Find the distance moved by the bigger block at the instant the smaller block reaches the ground. .

Two identical ball bearing in contact with each other and resting on a frictionless table are hit head on by another ball bearing of the same mass moving initially with a speed V shown in the figure. If the collision is elastic, which of the folloiwng shown in the figure is a possible result after collision ?

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the maximum speed of the mass

m_1 and m_2 are the masses of two bodies. When a force of 5 N is applied on each body, m_1 gets an acceleration of 10 m//s^2 and m_2, 20 m//s^2. If the two bodies are tied together and the same force is applied, find the acceleration of the combined system.

Two bodies of masses 10 kg and 20 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string, a horizontal force F = 600 N is applied to:-B along the direction of string. What is the tension in the string in each case?

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the frequency of oscillations,