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Show that for small oscillations the motion of a simple pendulum is simple harmonic. Derive an expression for its time period. Does it depend on the mass of the bob ?

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SL ARORA-OSCILLATIONS-Exercise
  1. Show that the total energy of a body executing S.H.M. is constant.

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  2. Show that for a small oscillations the motion of a simple pendulum is ...

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  3. Show that for small oscillations the motion of a simple pendulum is si...

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  4. A cylindrical piece of cork of base area A and height h floats in a li...

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  5. In SHM of a particle, draw graphs showing variation in acceleration wi...

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  6. Out of the following functions representing motion of a particle which...

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  7. The amplitude of a simple harmonic oscillation is doubled. How does th...

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  8. The amplitude of a simple harmonic oscillation is doubled. How does th...

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  9. The amplitude of a simple harmonic oscillator is doubled, how does thi...

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  10. Show that for a particle in linear S.H.M., the average kinetic energy ...

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  11. A particle executes simple harmonic motion of ampliltude A. At what di...

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  12. What is a spring factor? Find its value in case of two springs connect...

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  13. What is a spring factor? Find its value in case of two springs connect...

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  14. A particle executes simple harmonic motion between x = -A and x = + A....

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  15. For a particle executing SHM, the displacement x is given by x = A cos...

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  16. A particle free to move along the x-axis has potential energy given by...

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  17. A spring of force constant k is cut into two pieces such that one piec...

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  18. Two bodies (M) and (N) of equal masses are suspended from two separate...

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  19. An object of mass 0.2 kg executes simple harmonic oscillation along th...

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  20. A simple pendulum has a time period T(1) when on the earth's surface a...

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