Periodic and Oscillatory Motions

Physics

definition

Periodic Motion

Periodic motion, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave.

definition

Periodic Motion Graph

Periodic Motion Graph is as shown:

definition

Mathematical Condition of Simple Harmonic Motion

When the restoring force of any motion has equation of form:

Then fundamentally this equation represents simple harmonic motion.

example

how to identify periodic and non periodic motion

A motion that repeats itself at regular intervals of time is called periodic motion.
Example :  Explain whether Functions 1. and 2. are periodic or not?
1. we can write as
 =
 =
The periodic time of function is
So it is periodic motion.
2. The function decreases monotonically with increasing time and tends to zero as t approaches infinity and thus never repeats its value.
Hence it is non periodic motion.


REVISE WITH CONCEPTS

Introduction to Oscillations

ExampleDefinitionsFormulaes

Period and Frequency in Oscillatory Motion

ExampleDefinitionsFormulaes

Non-harmonic Oscillations

ExampleDefinitionsFormulaes

LEARN WITH VIDEOS

Quick Summary With Stories

Important Questions

Which of the following equation does not represent a simple harmonic motion:

View solution
>

The displacement of a particle along the x-axis is given by . The motion of the particle corresponds to.

View solution
>

Assertion : If a man with a wrist watch on his hand falls from the top of a tower, its watch gives correct time during the free fall. 
Reason :The working of the wrist watch depends on spring action and it has nothing to do with gravity.

View solution
>

Two identical springs of spring constant K are attached to a block of mass m and to fixed supports as shown in Fig. Shown that when the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. Find the period of oscillations.

1510112
expand
View solution
>

A particle executing SHM has a maximum speed of and a maximum acceleration of . The period of oscillation is:

View solution
>

The displacement of a particle is represented by the equation . The motion is 

View solution
>

A uniform thin ring of radius and mass suspended in a vertical plane from a point in its circumference its time period of oscillation is

View solution
>

The motion of a pendulum is an example of :

View solution
>

A particle is executing about along axis. Its position at an instant is given by The amplitude of oscillation is

View solution
>

Write two differences between centripetal force and centrifugal force.

View solution
>