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.

Options

A. `M((L^(2))/(12)+(R^(2))/(4))`
B. `(ML^(2))/(4)`
C. `(1)/(2)MR^(2)`
D. `(3)/(2)MR^(2)`

Answer

D

Explanation

`I=I_(CM)+MR^(2)`
`I=(MR^(2))/(2)+MR^(2)`
implies `(3)/(2)MR^(2)`