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A body executes SHM, such that its veloc...

A body executes `SHM`, such that its velocity at the mean position is `1ms^(-1)` and acceleration at exterme position is `1.57 ms^(-2)`. Calculate the amplitude and the time period of oscillation.

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To solve the problem step by step, we will use the formulas related to Simple Harmonic Motion (SHM) and the given data. ### Step 1: Identify the given values - Velocity at the mean position, \( V_{max} = 1 \, \text{m/s} \) - Acceleration at the extreme position, \( A_{max} = 1.57 \, \text{m/s}^2 \) ### Step 2: Use the formulas for maximum velocity and maximum acceleration in SHM The maximum velocity \( V_{max} \) in SHM is given by: ...
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NARAYNA-OSCILLATIONS-EXERCISE - IV
  1. A body executes SHM, such that its velocity at the mean position is 1m...

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  2. Two particles are executing SHM in a straight line. Amplitude A and th...

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  3. A particle is executing SHM on a straight line. A and B are two points...

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  4. A and B are two points on the path of a particle executing SHM in a st...

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  5. Vertical displacement of a plank with a body of mass 'm' on it is vary...

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  6. A particle performing simple harmonic motion having time period 3 s is...

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  7. The displacement x of a particle in motion is given in terms of time b...

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  8. The potential energy of a particle oscillating on x-axis is given as U...

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  9. A block A of mass m is placed on a frictionless horizontal surface. An...

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  10. Two blocks lie on each other and connected to a spring as shown in fig...

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  11. In the device shown in the figure, the block of mass 20 kg is displace...

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  12. A tray of mass 12 kg is supported by two identical springs as shown in...

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  13. A particle of mass 'm' is attached to three identical springs A,B and ...

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  14. One end of a spring of force constant k is fixed to a vertical wall an...

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  15. The bob of a simple pendulum is displaced from its equilibrium positio...

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  16. A disc of mass M is attached to a horizontal massless spring of force ...

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  17. A block of mass 'm' collides perfectly inelastically with another iden...

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  18. Two identical particles each of mass 0.5kg are interconnected by a lig...

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  19. The kinetic energy of SHM is 1/n time its potential energy. If the amp...

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  20. The potential energy of a particle oscillating along x-axis is given a...

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  21. A uniform cylinder of length (L) and mass (M) having cross sectional a...

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