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

Solution

The kinetic energy of the particle executing simple harmonic motion is given by,

K.E = $1 half m v squared space equals space 1 half m omega squared A squared space cos squared omega t$
Potential energy is given by,
P.E, U = $1 half m omega squared y squared space equals space 1 half m omega squared A squared sin squared omega t space$
Total energy of the particle is given by,
T.E = K.E + P.E
= $1 half m omega squared A squared space left parenthesis cos squared omega t space plus space sin squared omega t right parenthesis thin space$
= $1 half m omega squared A squared$

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 time for a particle executing simple harmonic motion.

Some More Questions From Mechanical Properties of Fluids Chapter

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

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Define amplitude.

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

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

What is the average velocity of the particle executing simple harmonic motion over one complete oscillation?

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