Simple Pendulum - Simple Harmonic Motion Derivation using Calculus

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. Want Lecture Notes? http://www.flippingphysics.com/SHM-de... This is an AP Physics C: Mechanics topic. Content Times: 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? Next Video: Physical Pendulum - Period Derivation and Demonstration using Calculus http://www.flippingphysics.com/SHM-de... Previous Video: Simple Harmonic Motion Derivations using Calculus (Mass-Spring System) http://www.flippingphysics.com/SHM-de... Thank you to Mr. Lane and the rest of my wonderful Patreon supporters. Please consider supporting me monthly at   / flippingphysics   Thank you to Julie Langenbruner and John Paul Nichols being my Quality Control Team for this video. http://flippingphysics.com/quality-co... #Derivation #SimpleHarmonicMotion #SimplePendulum