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If a simple harmonic motion is represent...

If a simple harmonic motion is represented by `(d^(2)x)/(dt^(2)) + alphax = 0`, its time period is :

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`(d^(2)y)/(dt^(2)) = -alphay`
Therefore, we can say acceleration ` a = -ay`
`rArr omega = sqrt(alpha)`
`T = (2pi)/(omega)`
`rArr T = (2pi)/(sqrt(alpha))`
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MODERN PUBLICATION-OSCILLATIONS -Revision Exercises (Short Answer Questions)
  1. Distinguish clearly between Harmonic and Non-Harmonic oscillations.

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  2. What do you mean by simple harmonic motion? Give at least two examples...

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  3. What do you mean by restoring force? Explain with the help of an examp...

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  4. Suppose the bob of a simple pendulum is made up of ice. What will hap...

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  5. Derive an expression for the instantaneous velocity of a particle exec...

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  6. Show that in simple harmonic motion, acceleration is directly proprot...

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

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  8. Derive an expression for the instantaneous acceleration of a particle ...

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  9. Is oscillation of a mass suspended by a spring simple harmonic ?

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  10. A spring having a spring constant k is divded into three parts. Calcul...

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  11. Derive an expression for the time period of a body suspended from a sp...

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  12. The time period of an oscillating body is given by T=2pisqrt((m)/(adg...

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  13. Consider a liquid which fills a uniform U - tube uniform U- tube, as s...

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  14. What will be the effect on (a) periodic time period (b) maximum veloc...

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  15. What do you mean by free and damped oscillations? Explain graphically.

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  16. Free & Forced Oscillations

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  17. Derive an expression for vibrations of a vertical spring.

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  18. What are resonant oscillations? Explain with the help of suitable exam...

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  19. What are coupled oscillations? Explain with the help of suitable examp...

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  20. Find the phase difference between two simple pendulums of unequal leng...

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