Question

A thin circular ring of radious R and mass M is hinged at its periphery in a vertical plane.If it is slightly displaced from equilibrium position and then released then the time period of oscillation of ring will be;

• A.
• B.
• C.
• D. $2\pi \sqrt{\frac{R}{3g}}$

Answer 1

The correct option is B

$T=2\pi \sqrt{\frac{I}{MgI}}=2\pi \sqrt{\frac{M{R}^2+M{R}^2}{MgR}}=2\pi \sqrt{\frac{2R}{g}}$