Give an expression for the velocity and acceleration of the centre of mass of a system of particles.

Net external force acting on a system of particle is not equal to zero. If velocity and acceleration of the centre of mass of the system of particles at some instant of time are found to be v and a respectively select possible option (s).

Write an expression for the velocity of the centre of mass of a system of particles.

Questions on centre of mass of system of particle and bodies

Obtain an expression for the position vector of centre of mass of a system of n particles.

The magnitude of acceleration of centre of mass of the system is

Write an expression for the position vector of the centre of mass of n-particle system. Also write the equations of motion which govern the motion of the centre of mass

The acceleration of centre of mass of system as shown in figure is

Choose the correct statement about the centre of mass (CM) of a system of two particles

Three identical particles, each of mass m, are located in space at the vertices of an equilateral triangle of side length a. They are revolving in a circular orbital under mutual ravitational attraction. Find the speed of each particle. Find the acceleration of the centre of mass of a system comprising of any two particles. Assume that one of the particles suddenly loses its ability to exert gravitational force. Find the velocity of the centre of mass of the system of other two particles after this.