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The displacement of a particle varies wi...

The displacement of a particle varies with time according to the relation `y=a sin omega t +b cos omega t `.

A

the motion is oscillatory but not `SHM`

B

the motion is `SHM` with amplitude `a+b`

C

the motion is `SHM` with amplitude `a^(2) +b^(2)`

D

the motion is `SHM`with amplitude `sqrt(a^(2)+b^(2))`

Text Solution

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The correct Answer is:
D
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NARAYNA-OSCILLATIONS-C.U.Q
  1. The displacement (x) of a particle as a function of time (t) is given ...

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  2. The composition of two simple harmonic motions of equal periods at rig...

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  3. The displacement of a particle varies with time according to the relat...

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  4. Two linear SHM of equal amplitudes A and frequencies omega and 2omega ...

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  5. A particle is subjected to two simple harmonic motion in the same dire...

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  6. Which of the following is not simple harmonic function ?

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  7. A particle is moving in a circle with uniform speed its motion is

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  8. The function sin^(2) (omegat) represents.

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  9. The displacement equation of a spring block system is given by y = A s...

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  10. In given statements correct alternative is

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  11. Which of following is charecteristic of SHM?

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  12. In SHM there is always a constant ratio between displacement of the bo...

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  13. A particle move along y-axis according to equation y +3+4 cos omega t....

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  14. A particle moves on the X-axis according to the equation x=x0 sin^2ome...

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  15. If a particle is executing SHM, with an amplitude A, the distance move...

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  16. The equation of motion of particle is given by (dp)/(dt) +m omega^(2) ...

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  17. Position of a particle varies as y = cos^(2) omegat - sin^(2) omegat. ...

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  18. The motion of a particle in SHM of

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  19. The displacement (from intial position) of a particle executing SHM wi...

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  20. A particle moves on y-axis according to the equation y = A +B sin omeg...

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