# Graph the potential of an anharmonic oscillator

1. Aug 2, 2011

### curto

1. The problem statement, all variables and given/known data

my spreadsheet: (oh and please ignore the fact that ive got my amplitude set to 39, i was still answering question 1 when i took the screen shot)

the question i am currently having problems with is question 2:

2. Relevant equations

i know the potential is U(x) = 1/2kx2 but thats about all i know

3. The attempt at a solution

i would use the above equation to find U which would be plotted on the y axis, however i dont know what the constant "k" is. also i dont know what i would use as the x axis

2. Aug 5, 2011

### curto

i figured it out but just for anyone else who would like to know, its actually quite simple. the potential U(x) is equal to the integral of -F dx. simply find an expression for F (remember F = ma = m d^2x/dt^2) and then integrate. thats going to be your expression for U(x). then all you gotta do is plot U(x) where x can have any range.