Mechanical Waves

Harmonic Motion

What makes things oscillate?

Work = Force * distance

Consider extended spring: Stored energy
release spring --> oscillation

Motion oscillates between

stored energy and energy of motion

==> transfer of energy


constant K depends on spring material


Time for 1 cycle : T [period]

Frequency:

Unit is Hertz : [Hz] = [1/s]

named after Heinrich Hertz (1857 - 1894); University of Bonn (Germany)


See the animation Circles and Sine Waves.


REVIEW

Why do things oscillate?

There is a restoring force F = -kx

Energy is stored.

Recall: Energy = Work = F d

Oscillation results from energy transfer.

stored energy --> Energy of motion
Energy of motion --> stored energy

Period T : time for one full cycle

frequency f: f = 1/T


Example: An oscillator takes 0.1 s for 1 cycle.

--> f = 1 / 0.1 s = 10 Hz

Ch. Elster
Aug 26 14:27:03 EDT 2019