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A point particle of mass 0.1kg is execut...

A point particle of mass `0.1kg` is executing SHM of amplitude `0.1m`. When the particle passes through the mean position, its kinetic energy is `8xx10^-3J`. Obtain the equation of motion of this particle if the initial phase of oscillation is `45^@`.

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To solve the problem step by step, we will follow the given information and apply the relevant formulas related to Simple Harmonic Motion (SHM). ### Step 1: Identify the given data - Mass of the particle, \( m = 0.1 \, \text{kg} \) - Amplitude of SHM, \( A = 0.1 \, \text{m} \) - Kinetic energy at mean position, \( KE = 8 \times 10^{-3} \, \text{J} \) - Initial phase of oscillation, \( \phi = 45^\circ \) ...
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CP SINGH-SIMPLE HARMONIC MOTION-Exercises
  1. A point particle of mass 0.1kg is executing SHM of amplitude 0.1m. Whe...

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  2. Select the correct statements. (i) A simple harmonic motion is neces...

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  3. A student says that he had applied a force F=-ksqrtx on a particle and...

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  4. Which of the following quantities are always negative in a simple har...

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  5. Which of the followign quantities are always zero in a simple harmonic...

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  6. The time period of a particle in simple harmonic motion is equal to th...

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  7. The average acceleration in one tiome period in a simple harmonic moti...

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  8. A partilce is executive simple harmonic motion given by x=5sin(4t-pi...

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  9. A particle starts SHM from the mean position. Its amplitude is A and t...

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  10. A body of mass 5g is executing SHM with amplitude 10cm, its velocity i...

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  11. A particle is vibrating in SHM. If its velocities are v1 and v2 when t...

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  12. The phase (at a time t) of a particle in simple harmonic motion tells

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  13. Which of the following equation does not represent a simple harmonic m...

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  14. Which of the following is a simple harmonic motion

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  15. The equation of SHM of a particle is (d^2y)/(dt^2)+ky=0, where k is a ...

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  16. A particle is executing SHM. Then the graph of acceleration as a funct...

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  17. A particle is executing SHM. Then the graph of velocity as a function ...

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  18. For a simple pendulum the graph between length and time period will be

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  19. Out of the following function reporesenting motion of a particle which...

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  20. A particle excuting S.H.M. of amplitude 4 cm and T = 4 sec .The time t...

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  21. A particle is executing SHM of amplitude 4cm and time period 12s. The ...

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