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.
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amini
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i. Omega= g/0.05 Hertz
ii. M=100gr
ajprincess
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It wud be really better if u show the steps @amini
ajprincess
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|dw:1354605666317:dw||dw:1354605726585:dw|
Am I right?
Shadowys
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yup.
ajprincess
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thanx. so |dw:1354606338362:dw| right @shadowys?
ajprincess
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@Shadowys if u dnt mind pleae check my answer.
Shadowys
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where did the 2 pi go ?
ajprincess
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2pi comes only when we find f right?
Shadowys
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oh. you're not using \(v=\frac{2\pi}{T}\) the answers are different though...
ajprincess
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sorry. but \(\omega\) is only equal to (\frac{2\pi}{T}\). Isn't t? Maximum velocity is \(A\omega\)
Shadowys
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oh right. sorry. a lil rusty in SHM. right. v=rw so your answer's right.
ajprincess
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will the anwr for second part be this?
|dw:1354608247839:dw|
ajprincess
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@Shadowys
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?
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.
ajprincess
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ya it will change.
ajprincess
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it will be \(\omega'=\omega/2\).
ajprincess
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|dw:1354615128244:dw|
Shadowys
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also the i didn't get (M+100) in f'
ajprincess
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oops sorry. it has to be M+300.
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.
ajprincess
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|dw:1354616316357:dw|
Am I right nw?
Shadowys
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the k will also change from your first eq.
ajprincess
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How to find it. New extension is nt given right?
Shadowys
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wait. sorry, i was wrong. k is a constant. lol eyes get blurry in a hurry.
ajprincess
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so vat I hav done is right?
Shadowys
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yup! :)
ajprincess
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Thank u sooooooo much. @Shadowys. thanx to u too @rajathsbhat.
Shadowys
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you're welcome :)