A semicircular rigid wore of radius of curvature 'R' is smothly pivoted at 'P'. Find the frequency of small oscillations of the wire under gavity

Explanation

here `d = sqrt(R^(2)+(4R^(2))/(pi^(2)))=(R)/(pi)sqrt(pi^(2)+4) I = 2mR^(2)`
`f = (1)/(2pi) sqrt((mgd)/(I)) = (1)/(2pi) sqrt((mgRsqrt(pi^(4)+4))/(pi 2mR^(2)))`
`= (1)/(2) sqrt((gsqrt(pi^(4)+4))/(2pi mR))`