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A smooth inclined plane having angle of inclination `30^(@)` with horizontal has a mass `2.5 kg` held by a spring which is fixed at the upper end as hwon in figure. If the mass is taken `2.5 cm` up along the surface of the inclined plane, the tension in the soring reduces to zero. If the mass is then released, the angular frequency of oscillation in radian per second is

A

`0.707`

B

`7.07`

C

`1.414`

D

`14.14`

Text Solution

Verified by Experts

The correct Answer is:
D
`kx = mg sin 30^(@)`
`omega = sqrt((k)/(m)) = sqrt((gsin30^(@))/(x)) = sqrt((5 xx 100)/(2.5)) = 14.14` Ans.
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RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 1, PART - II
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  3. The time period of a particle in simple harmonic motion is equal to th...

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  4. The tiem period of a particle in simple harmonic motion is equal to th...

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  5. If overset(vec)(F) is force vector, overset(vec)(v) is velocity , over...

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  6. Two SHM's are represented by y = a sin (omegat - kx) and y = b cos (om...

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  7. How long after the beginning of motion is the displacement of a oscill...

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  8. A particle moves on y-axis according to the equation y = 3A +B sin ome...

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  9. Two particle execute simple harmonic motions of same amplitude and fre...

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  10. A mass M is performing linear simple harmonic motion. Then correct gra...

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  11. A body executing SHM passes through its equilibrium. At this instant, ...

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  12. KE and PE of a particle executing SHM with amplitude A will be equal ...

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  13. A particle of mass 0.1 kg is executing SHM of amplitude 0.1 m . When t...

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  14. For a particle performing SHM

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  15. Acceleration versus time graph of a body in SHM is given by a curve sh...

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  16. A particle performs SHM of amplitude A along a straight line. When it ...

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  17. Two springs, of spring constants k(1) and K(2), have equal highest vel...

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  18. A toy car of mass m is having two similar rubber ribbons attached to i...

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  19. A mass of 1 kg attached to the bottom of a spring has a certain freque...

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  20. A ball of mass 2kg hanging from a spring oscillates with a time period...

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  21. A smooth inclined plane having angle of inclination 30^(@) with horizo...

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