A half ring of mass m, radius R is hanged at its one end its one end in verical plane and if free to socilalte in its plane.
Find oscillations frequency of the half ring.

Answer

A, B, D

Explanation

Moment of inertia about hinged point
`I = mR^(2) + mR^(2) = 2mR^(2)`
` f = (1)/(2pi)sqrt((mgl)/(I)) = 1/2pi sqrt((mgsqrt(R^(2) + (4R^(2))/(pi^(2))))/(2mR))`