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A half ring of mass m, radius R is hange...

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.

Text Solution

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The correct Answer is:
A, B, D
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))`
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