Problems 7–9 are related to the following scenario:

Question

We have a collection of 5 different mass/spring combinations that all have different
properties. All of them have some damping and all have the same mass. The properties are
summarized in the table below:
Name Natural Frequency
(cycles/second)
Time for oscillation
to stop
(seconds)
Notes
A 2.0 100 sec.
B 5.0 300 sec.
C 20.0 100 sec.
D — 10 sec. Does not oscillate.
E — 50 sec. Does not oscillate. The
mass and spring are the
same as in D.
7. If all the oscillators were driven by a device with a frequency of 4.6 Hz, which of the
oscillators would respond most strongly?
a. A
b. B
c. C
d. D
e. E

8. If one of the oscillators is critically damped, which one is it?
a. A
b. B
c. C
d. D
e. E

9. Which of the oscillators has the weakest damping coefficient?
a. A
b. B
c. C
d. D
e. E

Please help for 7. I found all the spring constants but do not know how to find the damping coeffiecent with the information give. I know 8,9 are opposites but need help.

Thanks