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The displacement of a SHO is given by, ...

The displacement of a SHO is given by,
`y=0.4sin(10pit+pi//3)cos(10pit+pi//3)`
The ratio of maximum velocity to the maximum acceleration of the particle is

A

`10 pi s`

B

`(1)/(10pi)s`

C

`20 pi s`

D

`(1)/(20pi)s`

Text Solution

Verified by Experts

The correct Answer is:
D
`y=0.2sin2(10pit+(pi)/(3))`
`=0.2sin(20pit+(2pi)/(3))`
`(V_("max"))/(a_("max"))=(Aomega)/(Aomega^(2))=(1)/(omega)=(1)/(20pi)s`.
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NIKITA PUBLICATION-OSCILLATIONS -MCQ
  1. A particle executing SHM passes through the mean position with a veloc...

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  2. The restoring force acting on a particle executing SHM is 10 N at a di...

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  3. The displacement of a SHO is given by, y=0.4sin(10pit+pi//3)cos(10pi...

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  4. A particle executes SHM along x-axis with an amplitude A, time period ...

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  5. If the displacement (y in m) and velocity (v in ms^(-1)) of a particle...

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  6. An object is attched to the bottom of a light vertical spring and set ...

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  7. Two particles A and B execute SHM on a straight line of path length 2 ...

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  8. A particles executes SHM according to the equation y = 2 sin 2pit, whe...

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  9. The ratio of the magnitude of maximum velocity to the maximum accelera...

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  10. The maximum velocity of a particle executing SHM is v. If its amplitud...

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  11. Two simple harmonic oscillators of masses m, 4m have same energy. If t...

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  12. A particle executing SHM has a velocity of 2 ms^(-1) when its displac...

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  13. The phase of a particle executing simple harmonic motion is pi/2 when ...

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  14. The amplitude of particle performing S.H.M. is

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  15. The phase quantity depends upon

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  16. The particle performing S.H.M. with epoch alpha displacement of motion...

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  17. In S.H.M.,

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  18. The phase of a particle performing S.H.M. when the particle is at a di...

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  19. The period of a body performing S.H.M. of frequency 5 Hz is

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  20. A particle executing S.H.M. starts from midway between mean and extrem...

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