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Mechanical Properties Of Fluids

Question
CBSEENPH11020729
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Which one of the following equations of motion represents simple harmonic motion? 

  • Acceleration = -ko x +k1x2

  • Acceleration =-k(x+a)

  • Acceleration = k (x+a)

  • Acceleration = kx

Solution

B.

Acceleration =-k(x+a)

Acceleration space proportional to space left parenthesis displacement right parenthesis straight A proportional to space minus straight y straight A space equals space minus space straight omega squared straight y straight A space equals space minus space straight k over straight m straight y straight A space equals space minus space ky Here comma space straight y space equals space straight x space plus straight a space therefore comma space acceleratio space equals space minus straight k space left parenthesis straight x space plus straight a space right parenthesis

Some More Questions From Mechanical Properties of Fluids Chapter

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?

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

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