Nusc
- 752
- 2
say I'm givin the potential energy fxn
V(r) = Eo [ (a/r)^3 - (a/r) ]
Eo a constant
After taking the derivatives to find the equilibrium pts and checking for stability we get
r = sqrt(3)*a and this pt is stable
r = -sqrt(3)*a and this pt is unstable
Now let's pose the question
b) What is the max kinetic energy that the particle can have and still remain bounded (ie. remain within a region of finite spatial extent)
Tmax = Vmax - Vmin right?
I am still all little confused about the concept from "stable eq I" Only because that question didn't have 2 equilibrium pts.
V(r) = Eo [ (a/r)^3 - (a/r) ]
Eo a constant
After taking the derivatives to find the equilibrium pts and checking for stability we get
r = sqrt(3)*a and this pt is stable
r = -sqrt(3)*a and this pt is unstable
Now let's pose the question
b) What is the max kinetic energy that the particle can have and still remain bounded (ie. remain within a region of finite spatial extent)
Tmax = Vmax - Vmin right?
I am still all little confused about the concept from "stable eq I" Only because that question didn't have 2 equilibrium pts.