Ok so this is propably borderline college :) But it is the first college course i'm in so don't bash me if this is too basic for this forum. (btw hi i'm new)(adsbygoogle = window.adsbygoogle || []).push({});

Well the question in the book is as follows:

"A mass m is attatched to the end of a helical spring (spring constant k) which hangs vertically from a fixed support. Show that the mass executes a simple harmonic motion with the T=2*pi*sqrt(m/k) about a point whose displacement below the unextende position of the spring is (m*g)/k".

So i'm suppose to show that the harmonic oscillation is independant of g, and i've been trying a couple of different things but not been very successful. Mostly been rewriting the formulas to see if anything comes to me. Thought perhaps i had something when i had x=(T^2*g)/(4*pi^2)=(mg)/k in which g goes out, but i don't really think that shows anything.

Plus i tried writing up the forces when the spring is fully extended (maximum of x) in each direction which gives F=mg+kx=0 and F=mg-kx=0 but that just basicly gives me the same mg=-kx which was used to begin with to derive x=(mg)/k so i'm not seeing a whole lot of help in that either :/

So perhaps someone here could give me a hint as to what direction i should go in, it would be greatly appreciated :)

Btw this site looks awesome, and i'm a msg board addict, so i'm really excited about this place :)

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# Harmonic Oscillation problem

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