(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The equilibrium length of each spring in the figure(attached, hopefully it shows up) isb, so when the massmis at the center, neither spring exerts any force on it. When the mass is displaced to the side, the springs stretch; their spring constant isk.

(a) Find the energy, U, stored in the springs, as a function ofy, the distance of the mass upordown from the center.

(b) Show that the period of small up-down oscillations is infinite.

2. Relevant equations

Potential Energy= mgy

or for springs=.5(ky^2)

3. The attempt at a solution

I really don't know how to go about it, but I've tried using a different equation that our professor showed us that goes (1/2)kx^2 + bx^4. I'm not understanding where the initial and finals are located. Also, the problem says it is stretched to the side so that would indicate a horizontal plane in which the gravitational energy is constant and can be left out, right? It is a symbolic problem so this is all that is given and the answer should be in Joules I believe or Nm-1. I have attached the figure for the problem. Any sort of help would be greatly appreciated. Thanks in advanced! :shy:

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# Homework Help: Energy, U, stored in springs as a function of y, the distance

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