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% Problem 20.11
% This problem is an excellent example of rolling contact
% and 2 points fixed on a rigid body
% Set up problem
CONSTANTS WBA,WEA,WAF,WBF,WCF,WDF,WEF
% These are angular velocity measure numbers
CONSTANTS RA,RB,RC,RD,RE
% The radii of the gears will be proportional to the
% number of teeth in each gear.
% The general solution approach is to form 6 linear
% equations in 6 unknown angular velocity measure numbers,
% which can then be solved for the desired ratio of measure
% numbers.
% Form equations by applying the rolling contact constraints.
% Rolling contact occurs between A and D, B and C, and
% D and E. Furthermore, all points on the axis of C and D
% have zero velocity in frame F. Thus, if CO and DO are the
% points at the center of C and D respectively, then
% V_CO_F> = V_DO_F> = 0>. These velocities give us a known
% starting point for using 2 points fixed on a rigid body:
% V_CHAT_F> = V_CO_F> + CROSS(W_C_F>,P_CO_CHAT)
% V_DHAT_F> = V_DO_F> + CROSS(W_D_F>,P_DO_DHAT)
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This note was uploaded on 06/13/2011 for the course EML 5215 taught by Professor Staff during the Fall '08 term at University of Florida.
 Fall '08
 Staff

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