ME3015 Fall 2011
PROBLEM SET #6 (25 points).
Document as outlined in the course admin letter.
Due: The beginning of Lesson 21 (November 7th).
1.
(9 points: 5+4)
(a)
Find the natural frequencies for the system below where m1=1[kg], m2=1[kg], k=20 [N/m],
a=1[m], L=3[m]. Assume a small angle of motion.
(b)
Sketch the modes of vibration. Show justification. (HINT: Consider the ratio between A and
B)
2.
(8 points) Consider the following spring-mass-damper system where m=1[kg], b=0.1[Ns/m],
and k=10 [N/m].
(1)
Find the transfer function
)
(
/
)
(
)
(
s
U
s
X
s
G
. Plot the bode diagram of
)
(
s
G
using
MATLAB. (Attach the MATLAB source code and a printout of the bode plot.)
(2)
Now you apply a sinusoidal input,

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