The motion of a mass-spring system with damping is governed by y'' (t) + by' (t) +9y(t) = 0; y(0) = 1, and y'(0) = 0. Find the equation of motion and sketch its graph for b= 0, 2, 6, and 10. What is the equation of motion for b=0? y(t) = (Type an exact answer, using radicals as needed.) What is the equation of motion for b=2? y(t) = (Type an exact answer, using radicals as needed.) What is the equation of motion for b = 6? y(t) = 0 (Type an exact answer, using radicals as needed.) What is the equation of motion for b = 10? y(t) = (Type an exact answer, using radicals as needed.) Choose the correct graph of the solutions. For each of the graphs b = 0 is a solid blue line, b = 2 is a dotted red line, b=6 is a dashed green line, and b= 10 is a dash-dot black line. A. MA B. ky C. D.
The motion of a mass-spring system with damping is governed by y'' (t) + by' (t) +9y(t) = 0; y(0) = 1, and y'(0) = 0. Find the equation of motion and sketch its graph for b= 0, 2, 6, and 10. What is the equation of motion for b=0? y(t) = (Type an exact answer, using radicals as needed.) What is the equation of motion for b=2? y(t) = (Type an exact answer, using radicals as needed.) What is the equation of motion for b = 6? y(t) = 0 (Type an exact answer, using radicals as needed.) What is the equation of motion for b = 10? y(t) = (Type an exact answer, using radicals as needed.) Choose the correct graph of the solutions. For each of the graphs b = 0 is a solid blue line, b = 2 is a dotted red line, b=6 is a dashed green line, and b= 10 is a dash-dot black line. A. MA B. ky C. D.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part b and C
Transcribed Image Text:The motion of a mass-spring system with damping is governed by y'' (t) + by' (t) +9y(t) = 0; y(0) = 1, and y'(0) = 0.
Find the equation of motion and sketch its graph for b= 0, 2, 6, and 10.
What is the equation of motion for b=0?
y(t) =
(Type an exact answer, using radicals as needed.)
What is the equation of motion for b=2?
y(t) =
(Type an exact answer, using radicals as needed.)
What is the equation of motion for b = 6?
y(t) =
(Type an exact answer, using radicals as needed.)
What is the equation of motion for b = 10?
y(t) =
(Type an exact answer, using radicals as needed.)
Choose the correct graph of the solutions. For each of the graphs b = 0 is a solid blue line, b = 2 is a dotted red line,
b = 6 is a dashed green line, and b= 10 is a dash-dot black line.
A.
A
B.
Q
D.
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