Question

Assuming the expression for the moment of inertia of a uniform solid cylinder about a transverse symmetry axis, obtain the expression for its moment of inertia about a transverse axis through its one end.

Answer 1

Let M be the mass, L the length and R the radius of a uniform solid cylinder. Let I_CM be the moment of inertia (MI) of the cylinder about a transverse symmetry axis. Then,

Let I be its MI about parallel, transverse axis through its one end. Here, h = l/2 = distance between the two axes.

By the theorem of parallel axis.