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The equation of motion of a particle of ...

The equation of motion of a particle of mass `1g` is `(d^(2)x)/(dt^(2)) + pi^(2)x = 0`, where `x` is displacement (in m) from mean position. The frequency of oscillation is (in Hz)

A

`1/2`

B

`2`

C

`5sqrt(10)`

D

`(1)/(5sqrt(10))`

Text Solution

Verified by Experts

The correct Answer is:
A
`omega^(2) = pi^(2) rArr omega = pi = f = (omega)/(2pi) = (1)/(2)Hz`
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ALLEN -SIMPLE HARMONIC MOTION-Exercise-01
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  3. The figure shows the displacement-time graph of a particle executing S...

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

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  5. A small mass executes linear SHM about O with amplitude a and period T...

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  6. Two particles A to B perform SHM along the same stright line with the ...

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  7. A particle exectes S.H.M. along a straight line with mean position x =...

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  8. A particle performing SHM is found at its equilibrium position at t = ...

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  9. The diagram shows two oscillations. What is the phase difference betwe...

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  10. An object of mass m is attached to a spring. The restroing force of th...

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  11. A particle performs SHM in a straight line. In the first second, start...

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  12. A particle is subjected to two mutually perpendicular simple harmonic ...

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  13. The period of a particle in SHM is 8s. At t=0 it is at the mean positi...

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  14. A particle executes SHM with time period T and amplitude A. The maximu...

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  15. The time taken by a particle performing SHM to pass from point A and B...

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  16. The P.E. of an oscillation particle at rest position is 10J and its av...

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  17. Block A in the figure is released from the rest when the extension in ...

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  18. A system is shown in the figure. The time period for small oscillatio...

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  19. A block of mass 0.9 kg attached to a spring of force constant k is lyi...

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  20. The length of a spring is alpha when a force of 4N is applied on it an...

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