Question

If the moment of inertia of uniform circular ring of
mass M and radius R about an axis through its
centre and perpendicular to its plane is I. Then
moment of inertia of a uniform semi-circular ring
of mass M and radius R about axis through its
centre and perpendicular to its plane will be

(the answer is I but I need an explanation.)​

Answer 1

Answer:

don't know bro..................

Answer 2

Explanation:

semicircular wire.

moment of inertial about a point at distance r is given by:

dI=dmr

2

to find total moment of inertia, integrate both sides

∫dI=r

2

∫dm

∫dm=M, total mass of body.

I=Mr

2

.

so The moment of inertia of a uniform semicircular wire of mass M and radius r about a line perpendicular to the plane of the wire and passing through its centre is Mr

2