Homework 4, due September 23
1. A particle moves in the potential U(x) = U0 tan2 ax where U0 and a are known constants.
Find the position x(t) and period of oscillations, assuming known initial energy E and position x(0). i Make a qualitative sketch of
Birds view of the classical
Given a problem, now we know many ways to solve it
Newtons 2nd law: intuitive, but has
different form in different coordinates
The only conservation laws that can be
applied automatically are energy,
momentum, or angu
2. Make a qualitative sketch of phase trajectories for a particle moving in the potential U(x)
shown below. Dont forget to indicate their direction.
3, A p