Page 8 - Vibrations
P. 8
The kinetic energy is,
1 1
2
2
2
2
= = sin ( + )
2 2
1
2
2
= sin ( + )
2
The potential energy is,
1
2
2
= cos ( + )
2
When there is no friction or energy loss, the total
mechanical energy is,
1
2
= + =
2
Resonance
We have seen the SHM oscillator, when vibrating it has a
natural resonance – the frequency at which it oscillates.
All objects have a resonance frequency, sometimes
several.
Even a jelly has a resonance frequency – it
will wobble as you shake it.
The nature of the resonance depends
on the object. The resonance of a jelly is very
different from that of a quality wine glass which
usually has a distinct natural resonance.
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