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.