A body of mass 2 kg is attached to another body of mass 1 kg with a massless rod. If 2 kg mass is at `(2hati + 3hatj)`m, and 1 kg mass at `(hati + 2hatj)`m, find the centre of mass of that system.

A body of mass 4 kg is attached to another body of mass 2 kg with a massless rod. If the 4 kg mass is at (2i + 5j)m and 2 kg mass is at (4i + 2j)m, the centre of mass of the system is at (in m)

A rigid body consists of a 3 kg mass connected to a 2 kg mass by a massless rod. The 3 kg mass is located at vec(r )_(1) = (2hat(i) + 5hat(j))m and the 2 kg mass at vec(r )_(2) = (4hat(i) + 2hat(j))m . Find the length of rod and the coordinates of the centre of mass.

A man of mass m=2kg is standing on a platform of mass M=5kg , then at any instant.

Four point masses 1 kg, 1 kg, 2 kg and 2 kg are placed at the corners of a square of side a m as shown in Fig. Find the centre of mass of the system.

A body A of mass 4 kg is dropped from a height of 100 m. Another body B of mass 2 kg is dropped from a height of 50 m at the same time. Then :

Centre of mass of three particles of masses 1 kg, 2 kg and 3 kg lies at the point (1,2,3) and centre of mass of another system of particles 3 kg and 2 kg lies at the point (-1, 3, -2) . Where should we put a particle of mass 5 kg so that the centre of mass of entire system lies at the centre of mass of first system ?

Two bodies of masses 1 kg and 3 kg are lying in xy plane at (0, 0) and (2, -1) respectively. What are the coordinates of the centre of mass ?

Consider a system of two particles having masses 2kg and 5 kg the particle of mass 2 kg is pushed towards the centre of mass of particles through a distance 5 m,by what distance would particle of mass 5kg move so as to keep the centre of mass of particles at the original position?

Three point masses of 1kg , 2kg and 3kg lie at (0,0) , (1,2) , (3,-1) respectively. Calculate the coordinates of the centre of mass of the system.

Three point masses of 1kg , 2kg and 3kg lie at (0,0) , (1,2) , (3,-1) respectively. Calculate the coordinates of the centre of mass of the system.