Simple Pendulum - Simple Harmonic Motion Derivation using Calculus (13:29)
Calculus is used to derive the simple harmonic motion equations for a simple pendulum. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. This is an AP Physics C: Mechanics topic.
0:00 Simple Harmonic Motion Review
1:57 Simple Pendulum Definition
3:28 Pendulum Restoring Force
4:45 Net Tangential Force
5:47 Bringing in Arc Length
7:20 Small Angle Approximation
9:10 Solving for Angular Frequency
10:03 Solving for Period
10:32 Position, Velocity, and Acceleration
12:03 Angular Velocity and Angular Frequency in the same equation?