Question

A uniform rod of mass m and length l makes a constant angle θ with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis is

(a) ml² / 3

(b) ml² / 3 Sin θ

(c) ml² / 3 Sin² θ

(d) ml² / 3 Cos² θ

Answer 1

Correct Answer is: (c) ml² / 3 Sin² θ

Mass of the element = (m/I) dx.

Moment of inertia of the element about the axis = (m/I dx) (xSin θ)².