In the diagram shown find the time period of pendulum for small oscillations

Explanation

For smaller values of `alpha, sin alpha ~~ alpha`
`F ~~ -(mg sin theta) alpha rArr ma =- (mg sin theta)(y)/(l)`
`a =- ((g sin theta)/(l)) y =- omega^(2)y`
`omega = sqrt((g sin theta)/(l)) rArr T = 2pi sqrt((l)/(g sin theta))`