Friday, July 5, 2013

DEFINITION OF SIMPLE HARMONIC MOTION (SHM)

Definition of Simple Harmonic Motion

  1. 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.
  2. Mathematical statement F = - kx
  3. 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;
  1. the acceleration of the object is directly proportional to  its displacement from its equilibrium position.
  2. the acceleration is always directed towards the equilibrium position.
- See more at: http://physicsnet.co.uk/a-level-physics-as-a2/further-mechanics/simple-harmonic-motion-shm/#sthash.iGsH4mWo.dpuf
Descriptive terms
  1. The amplitude A is the maximum displacement from the equilibrium position.
  2. The period T is the time for one complete oscillation. After time T the motion repeats itself. In general x(t) = x (t + T).
  3. The frequency f is the number of oscillations per second. The frequency equals the reciprocal of the period.  f = 1/T.
  4. 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;
  1. the acceleration of the object is directly proportional to  its displacement from its equilibrium position.
  2. the acceleration is always directed towards the equilibrium position.
- See more at: http://physicsnet.co.uk/a-level-physics-as-a2/further-mechanics/simple-harmonic-motion-shm/#sthash.iGsH4mWo.dpuf
An object is undergoing simple harmonic motion (SHM) if;
  1. the acceleration of the object is directly proportional to  its displacement from its equilibrium position.
  2. the acceleration is always directed towards the equilibrium position.
- See more at: http://physicsnet.co.uk/a-level-physics-as-a2/further-mechanics/simple-harmonic-motion-shm/#sthash.72NJe4OB.dpuf

No comments: