Notes

Centre of Mass of a Rigid Body…

Centre of Mass of a Rigid Body – It is a continuous solid body of finite size in which deformation is not possible, i.e. the relative distance between the two given points within the rigid body is always constant whatever the force is applied on it. Practically, there is no existence of it. In order to assume a body to be completely rigid, deformation would be neglected. For a rigid body which is not under any external force, centre of mass is always a fixed point while in case of body which is not rigid, the centre of mass can vary. Coordinates of centre of mass of a rigid body are X_CM = 1/M∫x dm Y_CM = 1/M∫y dm and Z_CM = 1/M∫z dm where, M is total mass of the rigid body and x, y and z are the coordinates of elementary mass dm.