ECE 520 Homework Set #1.
1) List as many characteristics of a conservative force as you can think of. (Note:
I was able to come up with at least 6).
2) Demonstrate that the angular momentum of a system of particles about an
arbitrary origin can be decom
ECE 520 Homework Set #2
1) Obtain the Lagrange equations of motion for a spherical pendulum, i.e., a point
mass suspended by a rigid, weightless rod.
2) Determine which of the following forces are conservative. Find V for those that
are conservative. (t r
ECE 520 Homework Set #3
ke ar
1. A particle moves in a central force field given by the potential V r
r
where k and a are positive constants. Discuss qualitatively the nature of the
motion, using the method of the equivalent one-dimensional potential. Tha
ECE 520 Homework Set 4
1) Derive Hamilton s equations for a spherical pendulum. Reduce these equations to
quadrature in a manner similar to the solution for the central force two body
problem, by determining a relationship between the angle of inclinat
ECE 520 Homework Set 6
1) A penny, made of crystalline copper, is heated at 1083 oC and melts. The density
of copper is 8.5 g/cm3. The energy needed to melt one gram of copper is 200 J.
By what factor does the multiplicity of the copper change when the pe
ECE 520 Homework Set 9
1) A particle of energy E is incident upon a potential barrier of height V0 and width d.
Calculate the transmission of the particle through the barrier as a function of E.
Obtain expressions for the maxima and minima in the transmis