A thin ring of radius made of material of density and young modulus lies on a smooth…

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

A thin ring of radius

R = 2\text{m}

made of material of density

\rho = 10^4 \text{ kg/m}^3

and young modulus

Y = 2 \times 10^{11} \text{ N/m}^2

lies on a smooth horizontal table. If the ring is rotated about its centre in its own plane with angular velocity

\omega = 10 \text{ rad/s}

. Calculate the small change in radius. [In multiple of

10^{-5} \text{ m}

]