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The motion of a mass-spring system with damping is governed by y" (1) + by' (1) + 64y(t) = 0; y(0) = 1, y'(0) = 0.

The motion of a mass-spring system with damping is governed by y" (1) + by' (1) + 64y(t) = 0; y(0) = 1, y'(0) = 0.

Advanced Engineering Mathematics
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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#4. Just for b=16 & 20
y”(1) + by' (1) y (0) = 1, + 16y(1) = 0; y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 6, 8, and 10. 4. The motion of a mass-spring system with damping is governed by y" (1) + by' (1) + 64y(1) = 0; y (0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 10, 16, and 20. 5. The motion of a mass-spring system with damping is governed by y"(t) + 10y' (1) + ky(t) = 0; y(0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for k=20, 25, and 30. 9. A 2-kg The dam the mas: given an maximu 10. A 1/4-k The dan If the ma released, that it wi 11. A 1-kg 100 N/m 0.2 N-sec equilibriu will it atta 12. A 1/4-kg 8 N/m. The If the mass given a left attain its m
Transcribed Image Text:y”(1) + by' (1) y (0) = 1, + 16y(1) = 0; y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 6, 8, and 10. 4. The motion of a mass-spring system with damping is governed by y" (1) + by' (1) + 64y(1) = 0; y (0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 10, 16, and 20. 5. The motion of a mass-spring system with damping is governed by y"(t) + 10y' (1) + ky(t) = 0; y(0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for k=20, 25, and 30. 9. A 2-kg The dam the mas: given an maximu 10. A 1/4-k The dan If the ma released, that it wi 11. A 1-kg 100 N/m 0.2 N-sec equilibriu will it atta 12. A 1/4-kg 8 N/m. The If the mass given a left attain its m
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