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Which of the following expression does n...

Which of the following expression does not represent simple harmonic motion?

A

`x=Acosomega+Bsinomega`

B

`x=Acos(omegat+alpha)`

C

`x=Bsin(omegat+B)`

D

`x=Asinomegatcos^(2)omegat`

Text Solution

Verified by Experts

The correct Answer is:
D
Simple harmonic motion is represented by a sine function or a cosine function or a linear combination of both, hence, option (a), (b) and (c) represent simple harmonic motion while option (d) is a product of the two functions (sine and cosine) does not represent a simple harmonic motion.
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NCERT FINGERTIPS-OSCILLATIONS -Simple Harmonic Motion
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  2. Which of the following is not characteristics of simple harmonic motio...

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  3. The equation of motion of a simple harmonic motion is

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  4. Which of the following expression does not represent simple harmonic m...

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  5. If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alph...

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  6. The time period of simple harmonic motion depends upon

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  7. Which of the following motions is not simple harmonic?

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  8. If x, v and a denote the displacement, the velocity and the accelerati...

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  9. Which of the following functions of time represent (a) simple harmonic...

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  10. A particle executing simple harmonic motion with an amplitude A. the d...

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  11. Displacement versus time curve for a particle executing SHM is shown i...

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  12. Two simple harmonic motions are represented by the equations. y(1)=1...

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  13. A vibratory motion is represented by x=2Acosomegat+Acos(omegat+(pi)/(2...

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  14. A particle executing SHM is described by the displacement function x(t...

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  15. Two particles execute SHMs of the same amplitude and frequency along t...

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  16. Two particles execute SHM of same amplitude and frequency on parallel ...

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  17. A mass of 2kg is attached to the spring of spring constant 50Nm^(-1). ...

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