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A particle of mass 1 kg is executing SHM...

A particle of mass `1 kg` is executing `SHM` with an amplitude of `1m` and time pariod. `pis`. Calculate kinetic enegry of the particle at the moment when the displacement is `0.8 m`.

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`omega = (2pi)/(T) = (2pi)/(pi) = 2s`
We have, `v = omega sqrt(A^(2) - x^(2))`
`v = 2 sqrt((1)^(2)-(0.8)^(2)) = 2xx0.6 = 1.2 m//s`
Kinetic energy `=(1)/(2) mv^(2) = (1)/(2) xx1 xx (1.2)^(2) = 0.72 J`
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NARAYNA-OSCILLATIONS-EXERCISE - IV
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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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  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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