For the system depicted, determine the value of each of the terms of Lagranges equation
where the generalized coordinate is 9 and supply the equation of motion.
3 a » geax
g?
Lagranges Eguation
d aEk aEk aEp 513,
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MECH330 Name
Winter, 2010 circle one AM CLASS
Midterm Exam SHOW ALL WORK. Give units Wherevogsible.
1. (10 points) Using Lagranges equation, determine the equation of motion (in xcg) for
the 1 DOF systelm given. ewma awnv? Q ni 22_a3%m23
,W M» . t 1 t
and 3-6 (0) = 3,
a. (3) What is the general solution for x(t):
my»: x t»
WW W a n. ,.w/
H I, rst order differential
given that x(O) =0? Evy
#4 x;
- 3 w
Wig "iftié r
s. W
s:
we 353:
a. (2) What is the 21 + 22? Mwwé
"92 5: g
gietgegbgwiéyngé g,
MECH33O Names:
Lab2: Groups of l or 2
For the given circuit and bond graph, complete the causality, develop the state equation,
and the transfer function.
Using Simulink:
2' Plot the flux linkage in the inductor as a function of time and show the hand
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