| Aug 25
| Sep 8
| Oct 4
| Nov 1
| Phy 340 page |
| Aug 30 | Sep 13 | Oct 11 | Nov 8 | |
| Sep 20 | Oct 18 | Nov 15 | ||
| Sep 27 | Oct 25 | Nov 22 | ||
| Nov 29 |
15 Sep
Do in detail the homework problem in which the whole idea is to analyze
a solution for the case of small viscosity. Use power series to
elucidate the solution.
At one point, I had to use the power series for the hyperbolic tangent,
so I took the quotient of the sinh and cosh series, and used the
binomial expansion to move the denominator into the numerator. Then,
after multiplying term by term, I got the result I needed. Messy but
straight-forward.
17 Sep Do in detail one of the previous homework problems, the one where the frictional force is - A eav. In particular, work out some of the limiting cases to see if they make sense. This required using a series expansion in one case.
Start the harmonic oscillator. Show how to solve the problem using energy conservation followed by separation of variables. Next solve the problem by assuming a solution in the form of a exponential, obtaining a solution x( t ) = A eat. In this case, the constant a is imaginary, being equal to ( - k / m )1/ 2.
