|
|
If you are gathering your own data, add a damping effect to the motion as shown in the figure at the right, using a piece of cardboard (or other light, rigid material) to create air resistance. Run the experiment in the same manner as before. If you do not have a facility for data gathering, you may use ours instead. Here we consider the more complicated initial value problem
![]() with y(0) = y0 and y'(0) = 0. The worksheet is set up to define a model function for this motion. We know from previous work that this model function y = y(t) has the form
![]() Since we do not know the damping constant c, we cannot evaluate the constants R, L, theta, and delta directly. You will have to experiment to find appropriate values; i.e., try values and then compare the graph of y(t) with the plot of the data. |
![]() |
|
|
modules at math.duke.edu | Copyright CCP and the author(s), 1998-2000 |