Find the moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder.

Explanation

The moment of inertia of the cylinder about its axis `=(MR^2)/2`
using parallel axes theorem
`I=I_0+MR^2=(MR^2)/2MR^2=3/2MR^2`
Similarly the moment of inetia of a solid sphere about a tengent is
`2/5MR^2+MR^2=7/5MR^2`