SYSC 3600 – Assignment #4
1/. Recall the block heater question from assignment 1. Suppose that the car is brought
home at 11:00 pm one night. At this time the engine block is at 110” C.
A timer cuts in
the block heater at 6:00am the following morning. Assuming that the ambient
temperature is 15”C throughout, how warm will the engine block be when the car is
started at 8:00am?
Remember that, if a system is subject to initial conditions and an input, the response of
the system will be the sum of its response to the initial conditions and its response to the
input.
Take the resistance of the block heater to be 40
Ω
.
2/. Derive a general expression for the response of a first order system (with time
constant
τ
and static gain
k
) to an input of the form
)
1
(
)
(
/
X
t
e
C
t
x
−
−
=
Compare your expression to the response of a first order system to an input of
Cu
(
t
).
Does your expression look reasonable?
What happens as X approaches zero? Does this
make sense?
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 Winter '08
 John Bryant
 Angular Momentum, Impulse response, Block heater, The Resistance

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