define simple harmonic motion?
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n mechanics and physics, simple harmonic motion is a special type of periodic motion or oscillation motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.
Simple harmonic motion can serve as a mathematical model for a variety of motions, such as the oscillation of a spring. In addition, other phenomena can be approximated by simple harmonic motion, including the motion of a simple pendulum as well as molecular vibration. Simple harmonic motion is typified by the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. The motion is sinusoidal in time and demonstrates a single resonant frequency. For simple harmonic motion to be an accurate model for a pendulum, the net force on the object at the end of the pendulum must be proportional to the displacement. This is a good approximation when the angle of the swing is small.
Simple harmonic motion provides a basis for the characterization of more complicated motions through the techniques of Fourier analysis. Therefore it can be simply defined as the periodic motion of a body along a straight line, such that the acceleration is directed towards the center of the motion and also proportional to the displacement from that point.
Simple harmonic motion can serve as a mathematical model for a variety of motions, such as the oscillation of a spring. In addition, other phenomena can be approximated by simple harmonic motion, including the motion of a simple pendulum as well as molecular vibration. Simple harmonic motion is typified by the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. The motion is sinusoidal in time and demonstrates a single resonant frequency. For simple harmonic motion to be an accurate model for a pendulum, the net force on the object at the end of the pendulum must be proportional to the displacement. This is a good approximation when the angle of the swing is small.
Simple harmonic motion provides a basis for the characterization of more complicated motions through the techniques of Fourier analysis. Therefore it can be simply defined as the periodic motion of a body along a straight line, such that the acceleration is directed towards the center of the motion and also proportional to the displacement from that point.
AdarshaGm:
i want just simple definatio plz help me
Ok
oscillatory motion under a retarding force proportional to the amount of displacement from an equilibrium position.
Okkk
ok thank u
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Answer:
Definition
(SHM) is defined Linear simple harmonic
as the linear periodic motion motion ofa
body, in which the force (or acceleration) is always
directed towards the mean position and its magni-
tude 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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