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Mechanical Properties of Fluids
Question
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How does the potential energy of a particle executing simple harmonic motion depend on the instantaneous position of the particle?

Answer

The potential energy of a particle executing simple harmonic motion at any instant is directly proportional to the square of the instantaneous position of the particle. 

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Some More Questions From Mechanical Properties of Fluids Chapter

Define frequency.

What is the condition for motion to be simple harmonic motion?

In the displacement equation y = r sin(ωt/ + ϕ) what does ϕ called and what information does it give?

What determines the natural frequency of an oscillator?

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.