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Simple Harmonic Motion
Trigonometry and Kinematics
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Here we get to start putting everything together!
 
Excited yet?

We have established the a simple harmonic oscillator moves in a periodic motion... therefore we can say that it has an angular acceleration (ω).
 
ω = 2π/T = 2πf
 
And when we substitute this into the trig. equations we saw earlier, we find that:
 
D(t) = A sin (ωt)
 
or
 
D(t) = A sin (2πf * t)
 
Where: D(t) = the displacement of the oscillator at time, t (m)
            A = the maximum displacement of the oscillator (m)
            f = frequency (Hz)
            t = time (s)
 
 
 
 
These equations allows us to solve most SHM problems.

Jump ahead to the practice problems...

Or continue to SHM dynamics...

Alesa Rabson & Maria Forero - Simple Harmonic Motion