SYSC 3600 – Assignment #5
1/.
How will the system below respond assuming that
V
IN
is a half cycle of a sine wave
(as drawn)?
Derive an expression for
V
OUT
. Your expression will (or at least should)
involves the constants
R
and
C
.
2/. Consider the system shown below. A mass is mounted on a base using a spring and a
damper. The system input is the position of the base, and the system output is the position
of the mass.
2/. What is the defining differential equation for the system? What does this equation
look like when transformed to the frequency domain? Be sure to include the initial
conditions. What is the transfer function for the system? What are the units for the
transfer function?
3/. The table of Laplace transform pairs in the notes tells us that the inverse transform of
2
)
(
1
a
s
+
is
at
te
−
. What is the inverse transform of

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