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A particle of mass 4g performs S.H.M. be...

A particle of mass 4g performs S.H.M. between `x = -10 cm and x = + 10` cm along x-axis with frequency 60Hz, initially the particle is at x = +5 cm. Find
the initial phase, amplitude and time period of the particle.

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To solve the problem step by step, we will find the initial phase, amplitude, and time period of the particle performing Simple Harmonic Motion (SHM). ### Step 1: Determine the Amplitude The amplitude (A) is the maximum displacement from the equilibrium position. In this case, the particle oscillates between \(x = -10 \, \text{cm}\) and \(x = +10 \, \text{cm}\). Thus, the amplitude is: \[ A = \frac{\text{Maximum displacement} - \text{Minimum displacement}}{2} = \frac{10 \, \text{cm} - (-10 \, \text{cm})}{2} = \frac{20 \, \text{cm}}{2} = 10 \, \text{cm} ...
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FIITJEE-SIMPLE HARMONIC MOTION-Assignment Problems (Subjective) (Level)
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  2. A spring of force constant k = 300 N/m connects two blocks having mass...

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  3. Find the time period of the motion of the particle shown in figure. Ne...

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

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  5. There is an isolated planet having mass 2M and radius 2R, where M and ...

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  6. A particle of mass 4g performs S.H.M. between x = -10 cm and x = + 10 ...

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  7. A particle of mass 4g performs S.H.M. between x = -10 cm and x = + 10 ...

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  8. A particle of mass 4g performs S.H.M. between x = -10 cm and x = + 10 ...

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  9. A particle of mass 4g performs S.H.M. between x = -10 cm and x = + 10 ...

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  10. A particle of mass 4g performs S.H.M. between x = -10 cm and x = + 10 ...

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  11. Draw the graph between displacement and kinetic energy for a particl...

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  12. Draw the graph between displacement and potential energy for a parti...

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  13. Draw the graph between displacement and total energy for a particle ...

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  14. A uniform circular disc of mass M and radius R is pivoted at distance ...

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  15. A vertical U tube contains a liquid of density rho, length of the liqu...

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  16. The length of a second pendulum is

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  17. A particle is performing linear SHM, along x-axis when the displacemen...

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  18. A spring of force constant k is cut into 4 equal parts. The spring con...

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  19. A particle is moving in SHM in a straight line. When the distance of t...

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  20. The shortest distance travelled by a particle executing SHM from mean ...

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