Two identical rods each of mass `m` and length `L`, are tigidly joined and then suspended in a vertical plane so as to oscillate freely about an axis normal to the plane of paper passing through `'S'` (point of supension). Find the time period of such small oscillations

Answer

A, B

Explanation

`T = 2pisqrt(I/(mgl))` where
`I = (mL^(3))/(3) + ((mL^(2))/(12) + mL^(2))`
`= (17mL^(2))/(12)` & `l = (3L)/(4)`
(Distance of centre of mass form hinge)
`rArr T = 2pisqrt((17mL^(2))/(12(2mg(3L//4)))) = 2pisqrt((17L)/(18g))`