Thanks.
I used a Taylor-expansion and set F = -k(r-r_0) = -dU/dr.
Got k = 9*2^(2/3)*E_0/a^2
and since ω = sqrt(k/μ), I ended up with ω = (3*2^(1/3)/a)*sqrt(E_0/μ) which I feel pretty good about.
Sorry for my lack of LaTex skills..
So I'm working on this home assignment that has numerous segments. Firstly, I was asked to find the equilibrium distance between two particles in a potential well described by U(r).
I did that by setting U'(r) = 0 and came out with r_equilibrium = 2^(1/6)*a.
Now, I'm being asked to find the...