The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to…

The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is 1x MR2, where R is the radius and M is the mass of the semicircular ring. The value of x will be _______.

Solution

The moment of inertia of a semicircular ring about a line perpendicular to the plane of the ring and passing through its centre is given as I=MR2, where m and R are the mass and radius of the ring. Comparing the given value

.I= MR2=1xMR2

x=1

Asked in: JEE Main 2023 (08 Apr Shift 1)

Practice more Rotational Motion questions on Aicharya