ICSE Class 10 Answered
explination of given shm
Asked by Spplranchi | 23 Jan, 2020, 02:33: PM
Expert Answer
In physics, Simple harmonic motion is repetitive movement back and forth through an equilibrium, or central, position,
so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.
The time interval of each complete vibration is the same, and the force responsible for the motion is always directed
toward the equilibrium position and is directly proportional to the distance from it.
A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring,
the other end of which is fixed in a ceiling. At the maximum displacement −x, the spring is under its greatest tension,
which forces the mass upward. At the maximum displacement +x, the spring reaches its greatest compression,
which forces the mass back downward again.
At either position of maximum displacement, the force is greatest and is directed toward the equilibrium position,
the velocity (v) of the mass is zero, its acceleration is at a maximum, and the mass changes direction.
At the equilibrium position, the velocity is at its maximum and the acceleration has fallen to zero.
The motion equations for simple harmonic motion provide for calculating any parameter of the motion if the others are known.
In the above equation of SHM, y is instantaneous displacement at time t, A is amplitude of vibration, ω = 2πf is angular frequency,
f is frequency of vibration, T is period of oscillation, k is force constant of spring and m is mass of hanging object.
Answered by Thiyagarajan K | 24 Jan, 2020, 10:48: PM
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