Simple harmonic motion energy conservation problem

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Homework Help Overview

The problem involves a mass oscillating vertically on a spring, focusing on the maximum kinetic energy during simple harmonic motion. Participants discuss the equilibrium position and the amplitude of oscillation in relation to energy conservation principles.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to derive the maximum kinetic energy using energy conservation equations but expresses uncertainty about their calculations. Some participants suggest considering additional forms of potential energy and the forces acting on the mass.

Discussion Status

Participants are exploring different aspects of the problem, with some guidance offered regarding potential energy considerations. There is an acknowledgment of the original poster's confusion, but no consensus has been reached on the correct approach.

Contextual Notes

There is a mention of a mix-up regarding the appropriateness of the question being posted in this forum, indicating potential constraints on the discussion.

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.
 

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