“Type of vibratory motion in which acceleration of body is directly
proportional its displacement and the acceleration is always directed
towards the equilibrium (mean) position is called Simple Harmonic Motion. “
acceleration a – displacement
a a – x
|Negative sign indicates that acceleration and displacement are opposite in direction.|
BASIC CONDITIONS TO EXECUTE SHM
|Basic conditions to execute simple harmonic motion are as under:|
| There must be an elastic restoring force acting on the system.|
The system must have inertia.
The acceleration of the system should be directly proportional to its displacement and is always directed to mean position i.e. a a – x
EXAMPLES OF SHM
|Motion of a body attached to the end of an elastic spring.|
|Motion of the bob os a simple pendulum if it is given small displacement.|
|Motion of an elastic strip.|
|Motion of of the prongs of a tuning fork.|
|Motion of the wire of a guitar or violin|
CHARACTERISTICS OF SHM
| The motion must be vibratory.|
The motion should be a periodic motion.
The restoring force should be directly proportional to the displacement of the body from its mean position.
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