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A smooth inclined plane having angle of ...

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-SIMPLE HARMONIC MOTION -Exercise- 1, PART - II
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  3. A particle performing SHM takes time equal to T (time period of SHM) i...

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  4. A particle executing linear SHM. Its time period is equal to the small...

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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 displacment of a harmoni...

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  8. The magnitude of average accleration in half time period in a simple h...

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  9. A particle moves on y-axis according to the equation y = A +B sin omeg...

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  10. Two particles execute SHMs of the same amplitude and frequency along t...

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

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

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  13. The KE and PE , at is a particle executing SHM with amplitude A will b...

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  14. A point particle if mass 0.1 kg is executing SHM of amplitude 0.1 m. W...

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  15. For a particle performing SHM

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  16. Acceleration a versus time t graph of a body in SHM is given by a curv...

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

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

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

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

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  21. A ball of mass m kg hangs from a spring of spring constant k. The bal...

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