Question

The moment of inertia of a uniform semi-circular disc of mass M and radius 'r 'about a line
perpendicular to the plane of the disc through the centre is​

Answer 1

Answer:

This a simple conceptual question I think following can help you

Mass of semicircular disc = M

Suppose there is a circular disc of mass 2M, then

Moment of intertia of circular disc = 1/2(2M)R2

Moment of intertia of circular disc = 1/2(2M)R2 = MR2

=> So, Moment of intertia of semi-circular disc = (1/2)MR2