Problem 14. For the system shown to the right, find the corresponding equa- tions e = Ax, y = Ce, and ATy = f. Solve the last equation for y (in terms of f's). Why can we find y before we find x in this case?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
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Problem 14

Problem 14.
For the system shown to the right, find the corresponding equa-
tions e = Ax, y = Ce, and A"y = f. Solve the last equation for
y (in terms of f's). Why can we find y before we find x in this
case?
C1
Problem 15.
f1, X1
For the same system as Problem 14., find
If the forces fi, f2, f3
K = ATCA and A-1 and K-.
are all positive, acting in the same direction, how do
you know that the displacements x1,x2,x3 are also posi-
tive?
f2, X2
C3
f3, X3
Transcribed Image Text:Problem 14. For the system shown to the right, find the corresponding equa- tions e = Ax, y = Ce, and A"y = f. Solve the last equation for y (in terms of f's). Why can we find y before we find x in this case? C1 Problem 15. f1, X1 For the same system as Problem 14., find If the forces fi, f2, f3 K = ATCA and A-1 and K-. are all positive, acting in the same direction, how do you know that the displacements x1,x2,x3 are also posi- tive? f2, X2 C3 f3, X3
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