Recall the two coupled masses undergomg limear oscillations in Exuniple 8. p.22-25. Solve a simple extension of this problem with three indentical masses and four identical springs. Solve for the physical motion by first solving for the eigenvalues and cigenveetors as we did in lecture for two Imasses. We aso refered to these values and vectors together as the eigen modes. I expect that we will have short discussions about the solution for the motion in each class period. MI M. -a a.
Recall the two coupled masses undergomg limear oscillations in Exuniple 8. p.22-25. Solve a simple extension of this problem with three indentical masses and four identical springs. Solve for the physical motion by first solving for the eigenvalues and cigenveetors as we did in lecture for two Imasses. We aso refered to these values and vectors together as the eigen modes. I expect that we will have short discussions about the solution for the motion in each class period. MI M. -a a.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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
Transcribed Image Text:Recall the two coupled masses undergoing linear oscillations in Example 8, p.22-25. Solve a simple
extension of this problem with three indentical masses and four idontical spritugs. Solve for the
physical motion by first solving for the eigenvalues and cigenvectors as we did in lecture for two
masses, We also refered to these values and vectors together as the eigen modes. I expect that we
will have short discussions about the solution for the motion in each class period.
MI
M.
By fonce balance an
the masses
A ssuming Ye > 46> Ya imitially
Mda + 性-1M.-^a)と=0
Mdw 上とー化)-K12-4.)-0
MdPc +k + k( Nc - )=0
2.
a.
a +
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