Question

particles of mass 2m and m are fixed at the extreme of a light string of lenght l.find the centre of mass and the moment of inertia of the system of particles from the lighter particle.

Answer 1

centre of mass will be at a distance of (L / 3) from mass 2m.

moment of inertia = m(2L/3)^2 + (2m)(L/3)^2