Plot the graph for the variation of kinetic energy, potential energy and total energy with displacement of particle executing simple harmonic motion.

Solution

Kinetic energy of a particle executing S.H.M is given by,
$straight K equals 1 half mω squared left parenthesis straight A squared minus straight y squared right parenthesis space space equals 1 half mω squared straight A squared minus 1 half mω squared straight y squared$
Potential energy is given by,
$straight U equals 1 half mω squared straight y squared$
Therefore the graph for kinetic energy versus displacement is a parabola, which is shown below.

The graph for potential energy versus displacement is also parabola.
Total energy is given by,
$straight E equals straight K plus straight U equals 1 half mω squared straight A squared$
Graph is straight line parallel to displacement axis.

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Plot the graph for the variation of kinetic energy, potential energy and total energy with displacement of particle executing simple harmonic motion.

Some More Questions From Mechanical Properties of Fluids Chapter

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

Are all the periodic motions simple harmonic?

Does the time period of particle vibrating in simple harmonic motion depend upon its displacement?

Where will the particle executing simple harmonic motion have acceleration maximum and speed zero?

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