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A spring of force constant k and negligi...

A spring of force constant k and negligible mass is attached to a rigid mass m at one end and clamped to a strong support at the other. The mass is displaced a little and then released. Show that the body executes simple harmonic motion and calculate its time period. If the spring is cut into three equal pieces and the same body is supported by one such piece in a smaller way, by how much will the time period be increased or decreased?

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NN GHOSH-SIMPLE HARMONIC MOTION-Eexercies
  1. A spring of force constant k and negligible mass is attached to a rigi...

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  2. A particle moves with a simple harmonic motion. If the velocities at d...

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  3. A point describes simle harmonic motion in a line 4 cm long. The veloc...

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  4. A particle moves with simple harmonic motion in a straight line. When ...

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  5. The maximum velocity of a body undergoing SHM is 0.004 ms^(-1) and its...

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  6. A test tube of weight 5.6 g and external diameter 2.5 cm is allowed to...

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  7. Find the phase difference between two particles executing simple harmo...

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  8. A body of mass 10g executes SHM with amplitude 2 xx 10^(-2) m and time...

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  9. A spring balance reading from 0 to 15kg is 10cm long. A body suspended...

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  10. When the displacement is one-half the amplitude, what fraction of the ...

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  11. A particle moves according to the equation f + 4x = 0, where x is its ...

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  12. Assuming that the atoms of a solid of atomic weight 24 behave like har...

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  13. The balance wheel of a watch vibrates with an angualr amplitude pi rad...

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  14. A block is on a piston, which executes simple harmonic motion in the v...

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  15. A body of mass m=0.50 kg is suspended from a rubber cord with elastici...

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  16. Two springs of force constants k(1) and k(2) are joined together and t...

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  17. Two springs of force constants k(1) and k(2) are attached to two oppos...

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  18. A point of mass m is suspended at the end of a massless wire of length...

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  19. Two mass m(1) and m(2) are suspended from a massless spring of force c...

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  20. An ideal gas enclosed in a vertical cylindrical container supports a f...

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  21. If the mass of a spring, m, is not negligible but small compared to th...

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