1. A spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass or the car. For this shock absorber, k = 1x 10°N/m and c= 2x 10' N s/m. Tne car drives over a corrugated road with rorce F = 2x 10' sin(@t) N. Use your notes to model the second order dirrerentiai equation suited to this application. Sımpiiry the equation with the coerricient or x" as one. Soive x (tne generai solution) in terms or @ using the complimentary and particular solution method. In determining the coerncients or your particular solution, it wiI be required tnat you assume w -1 @ or 1- w -m. Do not use Matiab as its solution will not be identiriable in the solution entry. Do not determine the value of W

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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1. Aspring mass system serving as a shock absorber under a car s suspension, supports the
M = 1000 kg mass or the car. For this shock absorber,
k = 1x 10°/m and c = 2x 10' N s/m. Tne car drives over a corrugated road with rorce
F = 2x 10' sin(@t) N. Use your notes to model the second order difrerential equation suited to this
application. Simplity the equation with the coerricient of X" as one. Soive X (tne general solution) in
terms or @ using the complimentary and particular solution method. In determining the coernicients of
your particular solution, it will be required that you assume o -1xo or 1- w x -m. Do not
use Matiab as its solution will not be identiriable in the solution entry. Do not determine the value of W.
You must Indicate In your solution!
1. Tne simpliried dirrerential equation in terms or the displacement X you will be solving
2. Ine m equation and complimentary solution Xe
3. Tne choice ror the particular solution and the actual particular solution Xp
4. Express the solution X as a plecewise function in terms of @
Transcribed Image Text:1. Aspring mass system serving as a shock absorber under a car s suspension, supports the M = 1000 kg mass or the car. For this shock absorber, k = 1x 10°/m and c = 2x 10' N s/m. Tne car drives over a corrugated road with rorce F = 2x 10' sin(@t) N. Use your notes to model the second order difrerential equation suited to this application. Simplity the equation with the coerricient of X" as one. Soive X (tne general solution) in terms or @ using the complimentary and particular solution method. In determining the coernicients of your particular solution, it will be required that you assume o -1xo or 1- w x -m. Do not use Matiab as its solution will not be identiriable in the solution entry. Do not determine the value of W. You must Indicate In your solution! 1. Tne simpliried dirrerential equation in terms or the displacement X you will be solving 2. Ine m equation and complimentary solution Xe 3. Tne choice ror the particular solution and the actual particular solution Xp 4. Express the solution X as a plecewise function in terms of @
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