d²x dx M dt2 + B + K x = 0 dx a) Solve for x(t) if: M = 2 B= 8 K = 20.5 and X(0) = 1.5, (0) = -1 dt
d²x dx M dt2 + B + K x = 0 dx a) Solve for x(t) if: M = 2 B= 8 K = 20.5 and X(0) = 1.5, (0) = -1 dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![b) What is x(0.6)?
c) If the system is under-damped, find the period of motion. Otherwise find the
maximum displacement after motion begins.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74be4292-7d75-4748-a8da-51953667dfbc%2Fb248761d-b012-46e4-b3d0-191351f04077%2F8mkscgt_processed.png&w=3840&q=75)
Transcribed Image Text:b) What is x(0.6)?
c) If the system is under-damped, find the period of motion. Otherwise find the
maximum displacement after motion begins.
![d²?x
M
dt?
dx
+ B-
+ K x = 0
dt
dx
a) Solve for x(t) if: M = 2 B = 8 K= 20.5
and X(0) = 1.5,
(0) = -1
-
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74be4292-7d75-4748-a8da-51953667dfbc%2Fb248761d-b012-46e4-b3d0-191351f04077%2Ffagy92n_processed.png&w=3840&q=75)
Transcribed Image Text:d²?x
M
dt?
dx
+ B-
+ K x = 0
dt
dx
a) Solve for x(t) if: M = 2 B = 8 K= 20.5
and X(0) = 1.5,
(0) = -1
-
dt
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