Question

The  moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc

(a) 1/2 MR²

(b) MR²

(c) 2/5 MR²

(d) 3/2 MR²

Answer 1

Correct option (d) 3/2 MR²

Explanation: 

Moment of inertia of a uniform circular disc about an axis through its centre and perpendicular to its plane is I_C = 1/2 MR².

By the theorem of parallel axes, 

.'. Moment of inertia of a uniform circular disc about an axis touching the disc at its diameter and normal to the disc is I.