Simple Harmonic Motion Derivations using Calculus (Mass-Spring System)
Calculus is used to derive the simple harmonic motion equations for a mass-spring system. 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 (SHM) Review
0:28 Mass-Spring System
1:44 The SHM Mathematical Condition
3:06 Position Equation & Phase Constant
4:28 Velocity Equation
5:37 Acceleration Equation
6:36 Showing this is SHM
7:47 Period and Angular Frequency
10:41 Period of a Mass-Spring System
11:12 Review
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