- #1

GoCubs12

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## Homework Statement

Two masses (M1 and M2) are connected together by 3 springs. The spring constants are k1, k2, k3. Block 1 is at equilibrium at x=0. Block 2 is at equilibrium at x=1. Determine a function for the force on the blocks.

## Homework Equations

## The Attempt at a Solution

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Without using the initial values, I was able to get the following equations

F1=-k1(x1)+k2(x2-x1)

F2=-k2(x2-x1)-k3(x2)

I looked around the internet and believe these equations are correct, however, my problem is converting them to work with the initial values in the problem. At equilibrium, the force on block 1 is 0 and x1 is 0. Using this I got the equation

F1=-x1(k1+k2)

Doing the same procedure with block 2 where its equilibrium is at 1, I got the following

x1=(k3/k2)+1

so...

F2= -k3(x2)-k2(x2-((k3/k2)+1)

I know the angular frequency of the blocks is about 15.8 rad/s. However, when these equations are used in a program to model the motion of the blocks, the frequency is around 22. I know the program is correct, and so the equations must be wrong, but I have no idea how.

Thanks in advance for the help!