A thin uniform rod of length and mass has moment of inertia about an axis through its…

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A thin uniform rod of length

L

and mass

M

has moment of inertia

I_{\text{rod}}

about an axis through its centre and perpendicular to its length. The rod is bent to form a thin circular ring of the same mass

M

, with radius

R = \dfrac{L}{2\pi}

. Find the ratio

\dfrac{I_{\text{ring}}}{I_{\text{rod}}}

, where

I_{\text{ring}}

is the moment of inertia of the ring about its symmetry axis.