Chapter 1:
Extra Credit: DIMENSIONAL ANALYSIS
For the case of
1) the simple pendulum, and
2) a mass on a spring
do the following:
* Identify the 3 most important variables in the problem.
* Using these 3 variables, construct a formula for the period from
dimensional analysis.
* Compare this with the correct formula. (I.e., dimensional analysis
can only get the variables, not the constants.)
Note: only do this step after you have completed your formulas.
* Comment on any variables which are unused. (Hint. This is the really
powerful part of dimensional analysis: it tells you what matters, and
what doesn't.