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ajprincess

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.

  • one year ago
  • one year ago

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  1. amini
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    i. Omega= g/0.05 Hertz ii. M=100gr

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

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

    • one year ago
  4. Shadowys
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    yup.

    • one year ago
  5. ajprincess
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    thanx. so |dw:1354606338362:dw| right @shadowys?

    • one year ago
  6. ajprincess
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    @Shadowys if u dnt mind pleae check my answer.

    • one year ago
  7. Shadowys
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    where did the 2 pi go ?

    • one year ago
  8. ajprincess
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    2pi comes only when we find f right?

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

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

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

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

    • one year ago
  13. ajprincess
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    @Shadowys

    • one year ago
  14. rajathsbhat
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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?

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

    • one year ago
  16. ajprincess
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    ya it will change.

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

    • one year ago
  18. ajprincess
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    |dw:1354615128244:dw|

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

    • one year ago
  20. ajprincess
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    oops sorry. it has to be M+300.

    • one year ago
  21. Shadowys
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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.

    • one year ago
  22. ajprincess
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    |dw:1354616316357:dw| Am I right nw?

    • one year ago
  23. Shadowys
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    the k will also change from your first eq.

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

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

    • one year ago
  26. ajprincess
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    so vat I hav done is right?

    • one year ago
  27. Shadowys
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    yup! :)

    • one year ago
  28. ajprincess
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    Thank u sooooooo much. @Shadowys. thanx to u too @rajathsbhat.

    • one year ago
  29. Shadowys
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    you're welcome :)

    • one year ago
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