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
Next Video: Simple Pendulum - Simple Harmonic Motion Derivation using Calculus
http://www.flippingphysics.com/SHM-de...
Previous Video: Simple Harmonic Motion Creating Circular Motion from Sine and Cosine Curves
https://www.flippingphysics.com/circu...
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 #SHM
Watch video Simple Harmonic Motion Derivations using Calculus (Mass-Spring System) online without registration, duration hours minute second in high quality. This video was added by user Flipping Physics 12 January 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 31,774 once and liked it 580 people.