Define centre of mass of a system of particles.

Determine the co-ordinates of centre of mass of a system of n particles.

The centre of mass of a system of particles moves as if all the _________ of the system was concentrated at the _________ of mass and all the external forces acting on the system were applied directly at this point.

Separation of mmotion of a systme of particles into motion of the centre of mass and motion about the centre of mass Show vec L = L = vec L + vecM R xx vecV where vec L = Sigma vecr_i xx vecp_i is the angular momentum of the system about the centre of mass with velocities taken relative to the centre of mass. Remember vecr_i = vecr_i - vecR , rest f the notation is the standard notation used in the chapter. Note vecL and vecMR xx vecV can be said to be angular moemnta respectively about and of the centre of mass of the system of particles.

Does the centre of mass of a system of two particles lie on the line joining the two particles?

Define centre of mass of a rigid body.

Three identical spheres each of radius R are placed touching each oother on a horizontal table. Where is the centre of mass of the system located?

What is the position vector of centre of mass of two particles of equal masses?

Given that linear momentum of a system of particles is zero.