The displacement of particle executing simple harmonic motion is represented by y = r sin ωt. Find the velocity and acceleration of particle at any instant. Plot displacement-time, velocity-time and acceleration-time curves for simple harmonic motion.

Solution

$Here comma space we space have straight y space equals space straight r space sin space ωt space Therefore comma space straight v space equals space dy over dt space equals space straight d over dt open parentheses straight r space sin space ωt close parentheses space space space equals space rω space cosωt and straight a space equals space dv over dt space equals space straight d over dt left parenthesis rω space cos space ωt right parenthesis space space space space space equals space minus rω squared space sin space ωt$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

The displacement of particle executing simple harmonic motion is represented by y = r sin ωt. Find the velocity and acceleration of particle at any instant. Plot displacement-time, velocity-time and acceleration-time curves for 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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