Calculus based review of Simple Harmonic Motion (SHM). SHM is defined. A horizontal mass-spring system is analyzed and proven to be in SHM and it’s period is derived. The difference between frequency and angular frequency is shown. The equations and graphs of position, velocity, and acceleration as a function of time are analyzed. the phase constant Phi is explained. And Conservation of Mechanical Energy in SHM is discussed. For the calculus based AP Physics C mechanics exam.
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0:12 Defining simple harmonic motion (SHM)
0:53 Analyzing the horizontal mass-spring system
2:26 Proving a horizontal mass-spring system is in SHM
3:38 Solving for the period of a mass-spring system in SHM
4:39 Are frequency and angular frequency the same thing?
5:16 Position as a function of time in SHM
5:44 Explaining the phase constant Phi
6:19 Deriving velocity as a function of time in SHM
7:33 Deriving acceleration as a function of time in SHM
9:05 Understanding the graphs of position, velocity, and acceleration as a function of time in SHM
12:16 Conservation of Mechanical Energy in SHM
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