Question

For the given uniform semi-circular disc of mass m and radius r. Choose the correct alternative(s) : (C : Centre of mass of the disc, O : Centre of the circular part) 

(A) the moment of inertia about the axis perpendicular to the plane of the disc and passing through O is mr ²/4 

(B) the moment of inertia about the axis perpendicular to the plane of the disc and passing through O is  mr²/4 

(C) the moment of inertia about the axis perpendicular to the plane of the disc and passing through A is 3mr ²/2

(D) the moment of inertia about the axis perpendicular to the plane of the disc and passing through C is mr² /2 

Answer 1

(B) the moment of inertia about the axis perpendicular to the plane of the disc and passing through O is  mr² /2

AND

(C) the moment of inertia about the axis perpendicular to the plane of the disc and passing through A is 3mr²/2