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A child swinging on a swing in sitting p...

A child swinging on a swing in sitting position, stands up, then the time period of the swing will.

A

increase

B

decrease

C

remain same

D

increase if the child is long and decrease If the chile is short

Text Solution

Verified by Experts

The correct Answer is:
B
The time period of the swing is
`T = 2pisqrt((l_(eff))/(g))`
Where `l_(eff) ` is the distance from point of suspension to the centre of mass of child. As the child stands up, the `l_(eff)` decrease hence T decreases.
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ALLEN -SIMPLE HARMONIC MOTION-Exercise-05 [A]
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  2. In a simple harmonic oscillator, at the mean position

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  4. A mass (M) is suspended from a spring of negligible mass. The spring i...

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  5. The disperod of a particle varies according to the relation x=4 (cos p...

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  6. A body executes simple harmonic motion. The potential energy (P.E), th...

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  7. Two particle A and B of equal masses are suspended from two massless s...

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  8. A particle at the end of a spring executes simple harmonic motion with...

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  9. The total energy of a particle, executing simple harmonic motion is.

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  10. A particle of mass (m) is attached to a spring (of spring constant k) ...

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  11. A particle of mass 0.3 kg subject to a force F=-kx with k=15N//m. What...

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

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  13. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

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  14. If a simple harmonic motion is represented by (d^(2)x)/(dt^(2))+αx=0, ...

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  15. The bob of a simple pendulum is a spherical hollow ball filled with wa...

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  16. The maximum velocity of a particle executing simple harmonic motion wi...

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  17. Starting from the origin a body osillates simple harmonicall with a pe...

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  18. The displacement of an obuect attached to a spring and executing simpl...

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  19. A point mass oscillates along the x-axis according to the law x=x(0) c...

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