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A linear harmonic oscillator of force co...

A linear harmonic oscillator of force constant `2 xx 10^6 N//m` and amplitude (0.01 m) has a total mechanical energy of (160 J). Its.

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`K.E_(max) = (1)/(2)KA^(2) = (1)/(2)xx2xx10^(6) xx (0.01)^(2) = 100J`
Since total energy is `160J`. Maximum `P.E.` is `160J`. From this is understood that at the mean position potential energy of the simple harmonic osciallator is minimum which need not be zero.
`PE_(min) = TE - KE_(max) =160 - 100 = 60 J`
`KE_(min) = 0`
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NARAYNA-OSCILLATIONS-EXERCISE - IV
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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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  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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  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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