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ajprincess

  • 3 years ago

Please help:) A mass less spring hanging vertically, extends by 5cm when a mass M is attached to its lower and vertical oscillations are started by pulling the mass M downwards by another 5cm and then releasing it. i.Find the frequency of oscillation and the maximum velocity of the oscillating mass. ii.If a second mass of 300g is added to M the frequency of oscillation is reduced to half the previous value. Find M.

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  1. amini
    • 3 years ago
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    i. Omega= g/0.05 Hertz ii. M=100gr

  2. ajprincess
    • 3 years ago
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    It wud be really better if u show the steps @amini

  3. ajprincess
    • 3 years ago
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    |dw:1354605666317:dw||dw:1354605726585:dw| Am I right?

  4. Shadowys
    • 3 years ago
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    yup.

  5. ajprincess
    • 3 years ago
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    thanx. so |dw:1354606338362:dw| right @shadowys?

  6. ajprincess
    • 3 years ago
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    @Shadowys if u dnt mind pleae check my answer.

  7. Shadowys
    • 3 years ago
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    where did the 2 pi go ?

  8. ajprincess
    • 3 years ago
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    2pi comes only when we find f right?

  9. Shadowys
    • 3 years ago
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    oh. you're not using \(v=\frac{2\pi}{T}\) the answers are different though...

  10. ajprincess
    • 3 years ago
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    sorry. but \(\omega\) is only equal to (\frac{2\pi}{T}\). Isn't t? Maximum velocity is \(A\omega\)

  11. Shadowys
    • 3 years ago
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    oh right. sorry. a lil rusty in SHM. right. v=rw so your answer's right.

  12. ajprincess
    • 3 years ago
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    will the anwr for second part be this? |dw:1354608247839:dw|

  13. ajprincess
    • 3 years ago
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    @Shadowys

  14. rajathsbhat
    • 3 years ago
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    i too am a little rusty on SHM but isn't the frequency of oscillation independent of the mass attached to the spring?

  15. Shadowys
    • 3 years ago
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    wouldn't \(\omega' \)also change because of the increase in mass by 0.3g? @rajathsbhat that is for simple pendulum.

  16. ajprincess
    • 3 years ago
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    ya it will change.

  17. ajprincess
    • 3 years ago
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    it will be \(\omega'=\omega/2\).

  18. ajprincess
    • 3 years ago
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    |dw:1354615128244:dw|

  19. Shadowys
    • 3 years ago
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    also the i didn't get (M+100) in f'

  20. ajprincess
    • 3 years ago
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    oops sorry. it has to be M+300.

  21. Shadowys
    • 3 years ago
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    in g? not in SI units? lol though there wouldn't be much difference anyways. except for the mass part, i think it's okay.

  22. ajprincess
    • 3 years ago
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    |dw:1354616316357:dw| Am I right nw?

  23. Shadowys
    • 3 years ago
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    the k will also change from your first eq.

  24. ajprincess
    • 3 years ago
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    How to find it. New extension is nt given right?

  25. Shadowys
    • 3 years ago
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    wait. sorry, i was wrong. k is a constant. lol eyes get blurry in a hurry.

  26. ajprincess
    • 3 years ago
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    so vat I hav done is right?

  27. Shadowys
    • 3 years ago
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    yup! :)

  28. ajprincess
    • 3 years ago
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    Thank u sooooooo much. @Shadowys. thanx to u too @rajathsbhat.

  29. Shadowys
    • 3 years ago
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    you're welcome :)

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