Consider a two - particle system with the particles having masses`M_1` and `M_2` .If the first particle is pushed towards the centre of mass through a distance a,by what distance whould the second particle be moved,so as t keep the centre of mass at the same position?

Define centre of mass of a system of particles.

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

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

A system consists of two particles of masses M and m(M>m) separated by distanced.What will be the position of CM?

If one of the particle is heavier than the other, to which side will their centre of mass shift?

Separation of mmotion of a systme of particles into motion of the centre of mass and motion about the centre of mass Show K = K + 1/2 MV^2 , where k is the total kinetic energy of the system of particles, K is the total kinetic energy of the system when the particle velcoities are taken with respect to the centre of mass and MV^2//2 is the kinetic energy of the translation of the system as a whole (i,e of the centre of mass motion of the system).

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

Three particles each of mass m are placed at the corners of a right angled triangle as shown in figure if OA=a and OB=b, the position vector of the centre of mass is: .