The moment of inertia of a semicircular ring about an axis passing through the center and perpendicular to the plane of the ring is where R is the radius and M is the mass of the semicircular ring. The value of will be _______ . [2023]

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Solution

Q.
The moment of inertia of a semicircular ring about an axis passing through the center and perpendicular to the plane of the ring is $\frac{1}{x} M R^{2},$ where R is the radius and M is the mass of the semicircular ring. The value of $x$ will be _______ . [2023]

Ans.
(1)

The moment of inertia of a semicircular ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is $= M R^{2}$

$So x = 1$

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