Anil Kanungo
ME 324 – Fri 23pm
November 25, 2008
UT EID: ASK358
Working Model Assignment #4
This
Working Model
Assignment asked us to analyze a window mechanism that used a system of gears and
bars to operate. Using the relative angular velocity equations (v
1
ω
1
=v
2
ω
2
and v=ωr), we were able to determine the
vertical velocity of the window AE given an angular velocity, ω
C
= 0.5 rad/s about gear C. There was assumed to be
no friction, a constant angular velocity about gear C, and that bars AB and EF are parallel.The
Working Model
setup
is illustrated below:
In this diagram, I used the vector display to display only the ycomponent of the velocity of bar AE. This gave a
value of 0.034 m/s
which is consistent with my hand calculated value of 0.0346 m/s
(see attached). This gives a
percent error of 1.76%
which is well within the desired range of ±5%.
This system uses angular velocity around gear C to drive gear B. Since gear C and gear B have different
radii, their angular velocity differs. The tangential velocity about C was found using the equation v
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 Fall '08
 Neptune
 Derivative, Acceleration, Angular Momentum, Angular velocity, Velocity, Vector graphics

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