From a gun whose barrel is inclined at an angle `theta` to horizontal fires 3 small balls of mass 2 kg, 5 kg and 4 kg which move in different directions as shown in figure. It is given that the centre of mass of the three shells moes in the direction of barrel of gun find `theta`.

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle as shown in figure. The centre of mass of the system is at a point :

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle as shown in figure. The centre of mass of the system is at a point :

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle as shown in figure. The centre of mass of the system is at a point :

Two particle of mass 4 kg & 2kg are located as shown in figure then find out the position of centre of mass.

A force of 50N is inclined to the vertical at an angle of 30^(@) Find the acceleration it produes in a body of mass 2kg which moves in the horizontal direction .

A gun (of mass M ) whose barrel makes an angle alpha with the horizontal fires a shell (of mass m ) . The gun is mounted on a frictionless track , so that recoil takes place with no resistive forces . Find the recoil velocity V of the gun and the absolute velocity of the shell in magnitude and direction if the muzzle velocity of the shell relative to the barrel is v .

A gun is mounted on a gun carriage movable on a smooth plane the gun is elevated at an angle alpha to the horizontal . A shot, fired leaves the gun in a direction inclined at an angle theta to the horizontal . If the mass of the gum and its carriage be n times that of short , find tan theta : tan alpha .

A shell of mass m is fired from a gun of mass km which can reecoil freely on a horizontal plane, the elevation of the gun is 45^(@) . Find the ratio of te energy of the shell to that of the gun.