# Worksheet: Oscillating Pendulums

In this worksheet, we will practice applying the equations of simple harmonic motion to oscillating pendulums, referring to the lengths of such pendulums.

**Q7: **

A steel ball with a mass of 125 g is attached to a 1.50-m-length string of negligible mass. The string is hung from a horizontal platform to form a pendulum. The ball is displaced so that the string is taut and aligned at a angle from the vertical. The ball is then released.

What is the speed of the steel ball when the string points vertically downward?

What is the speed of the steel ball when the string is aligned at a angle from the vertical?

What is the speed of the steel ball when the string is aligned at a angle from the vertical?

**Q15: **

A pendulum consists of a solid sphere of mass 1.00 kg and radius 0.300 m that is connected to a rod of length 2.00 m and mass 3.00 kg. The pendulum’s axis of rotation is connected to a point on the sphere, as shown in the accompanying diagram. What is the angular speed of the pendulum at its lowest point if it is released from rest at an angle of from the vertical?