Find the gravitational potential energy of a system consisting of a uniform rod AB of mass M, length l and a point mass m as shown in figure.

Find the gravitational interaction energy of system consisting of a disc of mass M, radius R and a small mass m dituated at a distance x from disc centre on its axis as shown in figure.

The moment of inertia of a thing uniform rod of length L and mass M , about axis CD (as shown in figure) is

The moment of inertia of a thing uniform rod of length L and mass M , about axis CD (as shown in figure) is

The gravitational force of attraction between a uniform sphere of mass M and a uniform rod of length l and mass in as shown in figure is

Find the M.I. of thin uniform rod of mass M and length L about the axis as shown.

Find the frequency of small oscillations of thin uniform vertical rod of mass m and length l hinged at the point O.

If a street light of mass M is suspended from the end of a uniform rod of length L in different possible patterns as shown in figure, then