Definition of Simple Harmonic Motion
- Simple harmonic motion occurs when the force F acting
on an object is directly proportional to the displacement
x of the object, but in the opposite direction.
- Mathematical statement F = - kx
- The force is called a restoring force because it always acts on the object to return it to its equilibrium position.
An object is undergoing simple harmonic motion (SHM) if;
- the acceleration of the object is directly proportional to its displacement from its equilibrium position.
- the acceleration is always directed towards the equilibrium position.
Descriptive terms
- The amplitude A is the maximum displacement from the equilibrium
position.
- The period T is the time for one complete oscillation. After
time T the motion repeats itself. In general x(t) = x (t +
T).
- The frequency f is the number of oscillations per second.
The frequency equals the reciprocal of the period. f
= 1/T.
- Although simple harmonic motion is not motion in a circle, it is convenient to use angular frequency by defining w = 2pf = 2p/T.
An object is undergoing simple harmonic motion (SHM) if;
- the acceleration of the object is directly proportional to its displacement from its equilibrium position.
- the acceleration is always directed towards the equilibrium position.
An object is undergoing simple harmonic motion (SHM) if;
- the acceleration of the object is directly proportional to its displacement from its equilibrium position.
- the acceleration is always directed towards the equilibrium position.
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