- #1

wmrunner24

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## Homework Statement

A mass-spring system oscillates with an amplitude of 0.024m. The spring constant is 250 N/m and the mass is 0.494kg.

Calculate the maximum acceleration of the mass-spring system.

## Homework Equations

F=-kx

Ue=1/2kx^2

F=ma

## The Attempt at a Solution

So, I really don't have much of an idea of how to do this, but I based it off of calculus, which is not included in this course, so there must be another way to do it. If there is an easier way, please point it out, but also verify or deny this way for my own curiosity please.

So, I said that F

_{g}-F

_{s}=ma

From there:

mg-kx=ma

Solve for a.

[tex]\frac{mg-kx}{m}[/tex]=a

Then, I differentiated the function in order to determine a maximum.

a'=[tex]\frac{-k*dx/dt}{m}[/tex]

And from here, I'm stuck. I don't know how to determine dx/dt, or even if I've correctly obtained the derivative. Could someone set me straight? Any help is appreciated.