Differentiating Trigonometric Functions
The Problem:

A simple pendulum consists of a mass m swinging at the end of a (massless) rod or wire of length L. The angular displacement of the pendulum at time t is given by

(1)

where a, , and are constants.

    (a)Show that satisfies the equation .
    (b)Show that can be written in the form .

The Tclet -- instructions:

The motion of a damped pendulum in which the damping is proportional to the speed is described by the following equation:

where the damping constant c > 0. Letting

gives the system

This Tclet illustrates the damped pendulum problem. It includes routines schedule.tcl and send-some.tcl written by W.F.Schelter.