Simple Harmonic Motion

Version 0.5 12-5-08

A – amplitude; f – frequency; W – angular frequency; P – phase constant.

X – position; V – velocity; a – acceleration

Oscillating mass:

Superimposed phase space trace:

Displacement of mass as a function of time:

Phase constant. Peak is shifted by an amount P/W (left if P is positive, right if P is negative) since Acos(Wn+P)=AcosW(n+P/W).

Plot potential energy, total energy, and turning points.

m – mass; k – spring constant; E – energy

Velocity and acceleration:

Energies:

Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

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