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 :

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 .

Two bodies of masses 1 kg and 2 kg are moving in two perpendicular direction with velocities 1 m//s and 2 m//s as shown in figure. The velocity of the centre of mass (in magnitide) of the system will be :

A force of 72 dyne is inclined to the horizontal at an angle of 60^(@) . Find the acceleration in a mass of 9 g, which moves in a 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 force of 50N acts in the direction as shown in figure. The block of mass 5kg, resting on a smooth horizontal surface. Find out the acceleration of the block.

A projectile is fired at an angle theta with the horizontal. Find the condition under which it lands perpendicular on an inclined plane inclination alpha as shown figure.

Three point masses 1kg, 1.5 kg, 2.5 kg are placed at the vertices of a triangle with sides 3cm,4cm and 5cm as shown in the figure. The location of centre of mass with respect to 1kg mass is :