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Exam 3
ME 218Engineering Computational Methods
The University of Texas at Austin
Fall 2007
Name________________________________________________________
Directions: You are to complete this exam entirely by yourself with no outside discussion or
help from other individuals.
The exam is due at the beginning of the last class period for the
semester.
You may use a calculator, Excel, Matlab, C/C++ programming environments,
homework, labs, and textbooks.
Turn in ALL written work stapled to this signed handout.
This includes mfiles and code used to answer each problem EVEN IF NOT
SPECIFICALLY REQUESTED.
Label and title all graphs.
Attach all requested material
in a clear,
ordered
, and organized manner.
The professor and TA will be available during lab
and office hours to answer clarification questions between now and the due date of the exam.
Every effort will be made to respond to email questions within 24 hours.
Sign the following contract
after
you have completed this exam only if it applies to you.
Conduct yourself in a manner that will allow this contract to apply to you when
completing all portions of this exam.
In an effort to uphold the high ethical standards maintained by the University of
Texas, the attached material represents original work prepared exclusively by me.
I
have neither offered, nor received help from classmates or other students while
preparing this document.
____________________________________________
Good luck!
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View Full Document Problem 1 (35 points): Numerical solution of an ODE initial value problem:
Consider the following “simple” double pendulum.
1
Link 1 Properties
length, a
1
= 0.25 meters
mass m
1
= 4.0 kg (point mass)
initial angle,
θ
1
= 5°
initial angular velocity = 0 degrees/sec.
Link 1 Properties
length, a
2
= 0.5 meters
mass, m
2
= 7.0 kg (point mass)
initial angle,
θ
2
= 0°
initial angular velocity = 0 degrees/sec.
Gravity, g = 9.81 m/s
2
A “simple” pendulum with two linkages
The equations of motion for the set of linkages can be written as two 2
nd
order differential equations.
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This note was uploaded on 04/07/2008 for the course ME 218 taught by Professor Unknown during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Unknown

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