Wednesday, June 30, 2010

Irodov Problem 4.20

We know that for small oscillation angles the angle of the pendulum as a function of time is given as,

The time taken for the bob to reach the wall is given by,

Since the collision between the wall and the pendulum is elastic, it reflects back with exactly the same velocity as it hits the wall. Thus, the total time period of the pendulum bob is double the time taken to reach the wall and is given by,