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Given a mass, m-5 kg, attached to a spring with spring constant, k = 20 N/m: Assuming damped system, solve for the general solution given a damping constant of: C - 25 N*s/m. Is the system overdamping, under damping or critical damping? y(t) = e(c₁cos (2t) + c₂ sin(2t)) Underdamping y(t) = cet + c₂e-4 Critical damping Oy(t) = c₁e + c₂te-t Overdamping Oy(t)=c₁e+c₂€¯ Overdamping Oy(t) = ₁e + c₂te-² Critical damping

Given a mass, m-5 kg, attached to a spring with spring constant, k = 20 N/m: Assuming damped system, solve for the general solution given a damping constant of: C - 25 N*s/m. Is the system overdamping, under damping or critical damping? y(t) = e(c₁cos (2t) + c₂ sin(2t)) Underdamping y(t) = cet + c₂e-4 Critical damping Oy(t) = c₁e + c₂te-t Overdamping Oy(t)=c₁e+c₂€¯ Overdamping Oy(t) = ₁e + c₂te-² Critical damping

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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Given a mass, m-5 kg, attached to a spring with spring constant, k = 20 N/m: Assuming damped system, solve for the general solution given a damping constant of: C = 25 N*s/m. Is the system overdamping, under damping or critical damping? y(t) = e(c₁cos (2t) + c₂ sin(2t)) Underdamping y(t) = cet + c₂e-* Critical damping y(t) = ce + c₂te-t Overdamping Oy(t) = ce + c₂e-4t Overdamping Oy(t)=c₁e-2 Critical damping + cate-2 hs
Transcribed Image Text:Given a mass, m-5 kg, attached to a spring with spring constant, k = 20 N/m: Assuming damped system, solve for the general solution given a damping constant of: C = 25 N*s/m. Is the system overdamping, under damping or critical damping? y(t) = e(c₁cos (2t) + c₂ sin(2t)) Underdamping y(t) = cet + c₂e-* Critical damping y(t) = ce + c₂te-t Overdamping Oy(t) = ce + c₂e-4t Overdamping Oy(t)=c₁e-2 Critical damping + cate-2 hs
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