Unformatted text preview: , in which is the
displacement of the end of a spring from its equilibrium configuration. Hence, with
, the first two springs are in tension, and the last spring is in compression.
The sum of the spring forces on
is The total force on is ________________________________________________________________________
page 339 —————————————————————————— CHAPTER 7. —— .
Similarly, the total force on is
. 18 . Taking a clockwise loop around each of the paths, it is easy to see that voltage
drops are given by
, and
.
. Consider the right node. The current in is given by
. The current leaving
the node is
. Hence the current passing through the node is
Based on Kirchhoff's first law,
.
. In the capacitor, In the resistor,
.
In the inductor, . Based on part , . Based on part , It follows that
and 20. Let
and be the current through the resistors, inductor, and capacitor,
respectively. Assign
and as the respective voltage drops. Based on
Kirchhoff's second law, the net volta...
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 Spring '08
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 Linear Algebra, eigenvector

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