A simple pendulum of length `L` is constructed form a point object of mass m suspended by a massless tring attached to a fixed pivot point. A small peg is placed a distance `2L//3` directly below the fixed pivot point. A small peg is placed a distance `2L//3` directly below the fixed pivot point so that the pendulum would wing as shown in the figure. the mass is displaced `5` degrees form the vertical and released. How does it take to return to its starting position.

Options

A. `pisqrt((L)/(g))(1+sqrt((2)/(3)))`
B. `pisqrt((L)/(g))(2+sqrt((2)/(3)))`
C. `pisqrt((L)/(g))(1+(1)/(3))`
D. `pisqrt((L)/(g))(1+(1)/(3))`

Answer

D

Explanation

`T prop sqrt(L)`
`t = pisqrt((L)/(g)) + pisqrt((L//3)/(g))`