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 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 (i) A, (ii) B along the direction of string. What is the tension in the string in each case?

A-stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200. N?

Find the force needed to produce an acceleration of 6 m/s2 in a ball of mass 4kg.

Two bodies of masses 10kg and 2 kg are moving with velocities 2hati-7hatj+3hatk ms^(-1) and -10hati+ -35hatj-3hatk respectively. Find the velocity of the centre of mass.

Two forces of 40 Newton and 72 Newton are applied separately on a body of mass 8 kg. Find the acceleration produced in each case.

Two bodies whose masses are m_1 = 50 kg and m_2 150g are tight by a string and placed in a horizontal surface. When m_1 is pulled by a force F and acceleration of 5ms^-2 is produced in both the bodies. Calculate the value of F and tension in the strong.

A body of mass 150 kg is moving with a velocity 20 m/s and it takes 5 sec. to stop after the brakes are applied. Find the.acceleration and applied force.

Forces F_1 and F_2 and applied on two bodies of mass m each. The acceleration produced in them are a and 2a respectively. Find the relation between F_1 and F_2

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centers of the spheres? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable?

Find force required in accelerating a 3 kg mass at 5 m/s2 and a 4 kg mass at 4 m/s2