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**1. Homework Statement**

A mass is connected between two identical springs with the same spring constant, k. The equilibrium length of each spring is L, but they are stretched to 2L when the mass is in equilibrium. Ignoring gravity, find the equations of motion and then angular frequency of oscillation, when the mass is displaced by a small distance +/-x.

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|______m______|

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this is what the system looks like, with each string 2L in the picture. The x direction is vertical

**2. Homework Equations**

F=-kx

a(x)=-(w^2)(x)

**3. The Attempt at a Solution**

from examining the forces I got that a(x)=(-2kxsin(theta))/m

i didnt know what to do next

would w=squareroot(2k/m)