ajprincess
  • 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.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
i. Omega= g/0.05 Hertz ii. M=100gr
ajprincess
  • ajprincess
It wud be really better if u show the steps @amini
ajprincess
  • ajprincess
|dw:1354605666317:dw||dw:1354605726585:dw| Am I right?

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anonymous
  • anonymous
yup.
ajprincess
  • ajprincess
thanx. so |dw:1354606338362:dw| right @shadowys?
ajprincess
  • ajprincess
@Shadowys if u dnt mind pleae check my answer.
anonymous
  • anonymous
where did the 2 pi go ?
ajprincess
  • ajprincess
2pi comes only when we find f right?
anonymous
  • anonymous
oh. you're not using \(v=\frac{2\pi}{T}\) the answers are different though...
ajprincess
  • ajprincess
sorry. but \(\omega\) is only equal to (\frac{2\pi}{T}\). Isn't t? Maximum velocity is \(A\omega\)
anonymous
  • anonymous
oh right. sorry. a lil rusty in SHM. right. v=rw so your answer's right.
ajprincess
  • ajprincess
will the anwr for second part be this? |dw:1354608247839:dw|
ajprincess
  • ajprincess
@Shadowys
anonymous
  • anonymous
i too am a little rusty on SHM but isn't the frequency of oscillation independent of the mass attached to the spring?
anonymous
  • anonymous
wouldn't \(\omega' \)also change because of the increase in mass by 0.3g? @rajathsbhat that is for simple pendulum.
ajprincess
  • ajprincess
ya it will change.
ajprincess
  • ajprincess
it will be \(\omega'=\omega/2\).
ajprincess
  • ajprincess
|dw:1354615128244:dw|
anonymous
  • anonymous
also the i didn't get (M+100) in f'
ajprincess
  • ajprincess
oops sorry. it has to be M+300.
anonymous
  • anonymous
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.
ajprincess
  • ajprincess
|dw:1354616316357:dw| Am I right nw?
anonymous
  • anonymous
the k will also change from your first eq.
ajprincess
  • ajprincess
How to find it. New extension is nt given right?
anonymous
  • anonymous
wait. sorry, i was wrong. k is a constant. lol eyes get blurry in a hurry.
ajprincess
  • ajprincess
so vat I hav done is right?
anonymous
  • anonymous
yup! :)
ajprincess
  • ajprincess
Thank u sooooooo much. @Shadowys. thanx to u too @rajathsbhat.
anonymous
  • anonymous
you're welcome :)

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