Lesson 43: Simple Harmonic Motion
As far back as Lesson 31 we started talking about ideas like period
and frequency, and more recently in Lesson 39 Hooke's Law.
●
We can bring these ideas together now to look more carefully
at the idea of
Simple Harmonic Motion
(
SHM
).
●
Simple harmonic motion
is any situation where an object...
1.
repeats its motion over and over again in a fixed pattern
that has a certain period.
2.
there is a restoring force causing it to move back to its
equilibrium point (where it was at rest before any force
was applied to it). The restoring force is directly related
to the amount of displacement from equilibrium (that's
Hooke's Law).
●
SHM
happens to objects that are
simple harmonic
oscillators
.
If we look at situations where a mass is attached to an elastic object
(like a spring), we can use our knowledge of the forces acting on it to
start making predictions of how it will move.
●
If the mass is stretched away from equilibrium, the restoring
force will pull it back to equilibrium. The amount of restoring
force would be calculated using F
s
= kx.
●
Besides the restoring force (calculated using Hooke's Law) you
may have to take other forces into account.
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 Fall '08
 Staff
 Force, Mass, Simple Harmonic Motion, Robert Hooke, Equilibrium point

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