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Velocities of a particle executing SHM a...

Velocities of a particle executing SHM are `4m*s^(-1)and3m*s^(-1)` at distances 2 m and 3 m respectively from the position of equilibrium. Determine the amplitude and time period of the motion.

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The correct Answer is:
3.918 m, 5.32 s
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A particle executing SHM possesses velocities 20cm*s^(-1)and15cm*s^(-1) at distances 6 cm and 8 cm respectively from its mean position. Calculate the amplitude and the time period of the particle.

Velocities of a particle executing SHM are u and v at distances x_(1)andx_(2) respectively from the mean position. Prove that the amplitude of the motion is ((v^(2)x_(1)^(2)-u^(2)x_(2)^(2))/(v^(2)-u^(2)))^(1//2)

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An object of mass 10 kg executes SHM. Its time period and amplitude are 2s and 10 m respectively. Find its kinetic energy when it is at a distance of (i) 2 m and (ii) 5 m respectively from its position of equilibrium. Justify the two different results for (i) and (ii).

The maximum acceleration of a particle executing simple harmonic motion is 0.296m*s^(-2) , its time period is 2s and the displacement from the equilibrium position at the beginning of its motion is 0.015m. Determine the equation of motion of the particle.

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CHHAYA PUBLICATION-SIMPLE HARMONIC MOTION-PROBLEM SET - II
  1. A simple harmonic motion has an amplitude of A and an angular frequenc...

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  2. Velocities of a particle executing SHM are u and v at distances x(1)an...

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  3. Velocities of a particle executing SHM are 4m*s^(-1)and3m*s^(-1) at di...

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  4. A particle of mass 0.01 kg is executing simple harmonic motion along a...

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  5. Total energy of a particle executing simple harmonic motion is 400 erg...

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  6. The ratio of the masses, time periods and amplitudes of vibration of t...

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  7. A particle of mass m is executing oscillations about the origin of the...

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  8. The mass of the bob of a simple pendulum is 2 g. If the pendulum keeps...

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  9. A seconds pendulum goes slow by 1 min 40 s a day. What should be the c...

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  10. A pendulum clock gives correct time at sea level. By how much time wil...

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  11. The time period of a simple pendulum is 1.96 s. Its time period increa...

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  12. Calculate the percentage of charge of time period of a simple pendulum...

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  13. Two simple harmonic motions are represented by the equations y(1)=0.1s...

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

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  15. A spring balance has a scale that reads from 0 to 50 kg. The length of...

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  16. If the angular frequency of a particle executing SHM is omega and its ...

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  17. When a particle executing SHM reaches half of its amplitude, find rati...

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  18. The time period and the amplitude of vibration of a particle of mass 5...

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  19. A lift is ascending with a retardation of 1.4m*s^(-2). If a seconds pe...

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  20. An aeroplane is descending with a retardation of 2m*s^(-2) making an a...

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