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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Fig. 9.56 shows a simple pendulum system in which a cord is wrapped around a fixed cylinder. The motion of the system that results is described by the differential equation
![]()
Where
l = length of the cord in the vertical (down) position,
R= radius of the cylinder.
(a) Write the state-variable equations for this system.

(b) Linearize the equation around the point = θ, and show that for small values of θ, the system equation reduces to an equation for a simple pendulum—that is,
![]()
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