Simple harmonic motion energy conservation problem

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al_famky
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Homework Statement


A mass m hanging on a spring oscillates vertically. If the equilibrium point of the oscillation is a distance d below the relaxed length of the spring and if the amplitude of the oscillation is A, what is the maximum kinetic energy of the oscillation?2. Homework Equations

The Attempt at a Solution


I did this:
mg=kd [itex]\rightarrow[/itex] k=[itex]\frac{mg}{d}[/itex]
[itex]\Delta[/itex]E=[itex]\frac{1}{2}[/itex]k[itex](A+d)^{2}[/itex]-[itex]\frac{1}{2}[/itex]k[itex]d^{2}[/itex]=[itex]\frac{1}{2}[/itex][itex]\frac{mg}{d}[/itex]([itex]A^{2}[/itex]+2Ad)
which wasn't the answer, but i don't know where i went wrong.
if anyone could point out the problem, i'd really appreciate your help
 
Last edited:
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There's another form of potential energy that needs to be taken into account.
 
TSny said:
There's another form of potential energy that needs to be taken into account.

which is?
 
Note that the mass is moving vertically. Think about all of the forces acting on the mass.
 
Thank you very much, TSny, for your help, I get it now.
and this question wasn't supposed to have been posted here, sorry for the mix up.