Rishi Sharma
Dear Student,
Please find below the solution to your problem.
Periodic motion is that motion which repeats itself after equal intervals of time.
The interval of time is called the time period of periodic motion.
Example:
(i) motion of planets around the sun
(ii) motion of the pendulum of a wall clock
(iii) motion of the hands of a clock etc.
If a body is moving back and forth repeatedly about a mean position, it is said to possess oscillatory or vibratory motion.
Example:
(i) motion of the pendulum of a clock
(ii) vibrations of the string of a sitar etc.
An oscillatory motion is always periodic.
A periodic motion may or may not be oscillatory.
For example, the motion of planets around the Sun is always periodic but not oscillatory.
The motion of the pendulum of a clock is periodic as well as oscillatory.
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.
The force responsible for the motion is always directed toward the equilibrium position and is directly proportional to the distance from it.
F = −kx,
where F is the force,
x is the displacement, and
k is a constant.
This relation is called Hooke’s law.
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