Circular motion vs. pendulum

A pendulum's motion is compared to the projection of a ball on the rim of a rotating disc, with both systems synchronized to the same frequency. This setup illustrates the analogy between the pendulum's angular displacement and the linear displacement of the ball in circular motion. By observing the shadow projection, students can visualize how the pendulum's periodic motion is related to the uniform circular motion, reinforcing the concepts of angular frequency and phase relationships in SHM.