PHYS212 : Homework |
Complex exponentials, simple harmonic motion
(b) Use Maple to plot the function
[> plot(cos(2*Pi*t)+cos(2.2*Pi*t),t=0..20);
If you want to put two functions on the same plot, separate them by a comma and enclose them in square brackets ([]). For example,
[> plot([cos(2*Pi*t), cos(2.2*Pi*t)],t=0..10);
(b) Find the frequency of small-angle oscillations of a thin ring of mass hanging from a point on its circumference.
(c) How long must the pendulum in a pendulum clock be in order for it to have a period of 2.0 s (1.0 s between ``tick'' and ``tock'') using the simple pendulum of part (a)?
(d) What diameter must the ring of part (b) have in order to give the same period?
Copyright © 2003-2009, Lewis A. Riley | Updated Tue Apr 14 02:04:45 2009 |