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For the following forcing inputs, assume u(0) = 0 and u(0)=0. Use Duhamel's Integral to find the response of a mass-spring system (undamped system) to the following in (forces): Solve using the principle of superposition. Only do the appropriate sketching for this proble A plt) Po Po cos(nt/2t)

For the following forcing inputs, assume u(0) = 0 and u(0)=0. Use Duhamel's Integral to find the response of a mass-spring system (undamped system) to the following in (forces): Solve using the principle of superposition. Only do the appropriate sketching for this proble A plt) Po Po cos(nt/2t)

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.20P: Plot a velocity resonance curve for a driven, damped oscillator with Q = 6, and show that the full...
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For the following forcing inputs, assume u(0) = 0 and u(0)= 0. Use Duhamel's Integral to find the response of a mass-spring system (undamped system) to the following inputs (forces): Solve using the principle of superposition. Only do the appropriate sketching for this problem. A P(t) Po Po cos(mt/2td)
Transcribed Image Text:For the following forcing inputs, assume u(0) = 0 and u(0)= 0. Use Duhamel's Integral to find the response of a mass-spring system (undamped system) to the following inputs (forces): Solve using the principle of superposition. Only do the appropriate sketching for this problem. A P(t) Po Po cos(mt/2td)
u(t) is obtained using Duhammel's integral P(t)= P cos at where @ π 21 For 0≤t<t |u(t)=P(t)h(t-1)dt = (P. cos @T) h(t-1)dt = [ (Po cos@7) sin@₁₂(t-1) mon Fort2t |u(t)=P(t)h(t-1)dt P1 t1 (0 (cos@t-cos@t) where r=- -P1 11 -P2 P2 12
Transcribed Image Text:u(t) is obtained using Duhammel's integral P(t)= P cos at where @ π 21 For 0≤t<t |u(t)=P(t)h(t-1)dt = (P. cos @T) h(t-1)dt = [ (Po cos@7) sin@₁₂(t-1) mon Fort2t |u(t)=P(t)h(t-1)dt P1 t1 (0 (cos@t-cos@t) where r=- -P1 11 -P2 P2 12
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