Laplace transforms: Double pendulum: Difference between revisions

Latest revision as of 16:50, 9 December 2009

Part 1:

Problem Statement: Consider the double-pendulum system consisting of a pendulum connected to a pendulum.

If the displacements of the angles is small, the system of differential equations can be written as follows:

Using Laplace Transforms

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 '''Problem Statement:'''
+Consider the double-pendulum system consisting of a pendulum connected to a pendulum.
-Suppose two identical pendulums are coupled by means of a spring with constant K.  It can be shown that when displacement angles Theta_1 (t) and theta_2 (t) are small, the system of linear Differential Equations describing motion is
+[[Image:DP.jpeg]]
+If the displacements of the angles is small, the system of differential equations can be written as follows:
+[[Image:1.jpg]]
+Using Laplace Transforms