(II) Derive a formula for the maximum speed v max of a simple pendulum bob in terms of g, the length I and the maximum angle of swing

v02 = 2g£(2sin20o/'2)

Solution 34P

Step 1 of 3 ^

Let us draw a simple pendulum. Let its length be L and angle be 0

Let h be the difference in height between the points where the pendulum is at the highest and the mean position.

Step 2 of 3</p>

We use energy conservation between the release point and the lowest point.