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Suppose a spring system with three masses and many springs oscillates at a fundamental mode with eigenvalue X = 4 and (A) If mass 1 oscillates with an amplitude of 10, then what is the amplitude of oscillation for mass 3? Amplitude = (B) If mass 3 is at maximum height at time t = 4, when will it next be at maximum height? t (C) Mass 3 oscillates in the same ✓ direction as mass 1. eigenvector v = (D) If mass 3 begins at displacement u3(0) = 1 and velocity ug (0) = -3, then what is its dispacement function? uz(t) = 2

Suppose a spring system with three masses and many springs oscillates at a fundamental mode with eigenvalue X = 4 and (A) If mass 1 oscillates with an amplitude of 10, then what is the amplitude of oscillation for mass 3? Amplitude = (B) If mass 3 is at maximum height at time t = 4, when will it next be at maximum height? t (C) Mass 3 oscillates in the same ✓ direction as mass 1. eigenvector v = (D) If mass 3 begins at displacement u3(0) = 1 and velocity ug (0) = -3, then what is its dispacement function? uz(t) = 2

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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Suppose a spring system with three masses and many springs oscillates at a fundamental mode with eigenvalue X = 4 and (A) If mass 1 oscillates with an amplitude of 10, then what is the amplitude of oscillation for mass 3? Amplitude = (B) If mass 3 is at maximum height at time t = 4, when will it next be at maximum height? t (C) Mass 3 oscillates in the same ✓ direction as mass 1. (D) If mass 3 begins at displacement #3 (0) uz(t) = eigenvector v = 1 and velocity u₂(0) = -3, then what is its dispacement function? 124
Transcribed Image Text:Suppose a spring system with three masses and many springs oscillates at a fundamental mode with eigenvalue X = 4 and (A) If mass 1 oscillates with an amplitude of 10, then what is the amplitude of oscillation for mass 3? Amplitude = (B) If mass 3 is at maximum height at time t = 4, when will it next be at maximum height? t (C) Mass 3 oscillates in the same ✓ direction as mass 1. (D) If mass 3 begins at displacement #3 (0) uz(t) = eigenvector v = 1 and velocity u₂(0) = -3, then what is its dispacement function? 124
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