Linear simple harmonic motion define
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- A special type of periodic motion in which a particle moves to and fro about a mean position.
- The restoring force is always directed towards mean position and its magnitude at instant is directly proportional to displacement of the particle.
F α -x
F = - k x , k is force constant , and its SI unit is Nm⁻¹
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Definition :
(SHM) is defined Linear simple harmonic as the linear periodic motion motion of a body, in which the force (or acceleration) is always directed towards the mean position and its magnitude is proportional to the displacement from the mean position.
OR
A particle is said to execute linear SHM if the particle undergoes oscillations about a point of stable equilibrium, subject to a linear restoring force always directed towards that point and whose magnitude is proportional to the magnitude of the displacement of the particle from that point.
Examples : The vibrations of the tines (prongs) of a tuning fork, the oscillations of the needle of a sewing machine.
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