Use the principle of angular momentum to eventually derive the moment of inertia integral. For each case, find the angular momentum Ho of the system and match your result with the formula
Ho = Io*w
1) Show that the moment of inertia of a particle of mass m rotating about some point O at a distance R with and angular speed w is Io = mR^2.
2) Show that the moment of inertia of n particles each of mass (1/n)*m rotating about some point O at a distance R with the same angular speed w is I = mR^2.