In the attachment below some form of link is made between F(x+xo) and dU/dx
I understand F=-dU/dx but I do not understand the derivation shown to prove that the force constant is equal to the second derivative in the last line.
How do they go about this proof ?
SHM in a Potential well Watch
- Thread Starter
- 04-04-2013 10:54
- 04-04-2013 15:51
From Hooke's law F = -kx where x is the deviation from the equilibrium. The deviation from the equilibrium in this case is deltax so by comparison k = U''.