A spring/mass/dashpot system has mass 5 kg, damping constant 70 kg/sec and spring constant 845kg/sec/sec. Express the ODE for the system in the forma"+ 2px' + wr = 0Identify the natural (undamped) frequency of the spring:wo 3=(square Hz)Identify the parameter p:(Hz)Now assume that the system has the oscillating forcing function cos(wod) with the same frequendy as thespring's natural frequency.+ 14a'+ 169a =cos(wat)Find the general solution.

Given: mass = m = 5 kgDamping constant =b= 70 kg/secSpring constant = k = 845 kg/sec/sec

A spring/mass/dashpot system has mass 5 kg, damping constant 70 kg/sec and spring constant 845 kg/sec/sec. Express the ODE for the system in the form + 2pr' +wr = 0 %3D Identify the natural (undamped) frequency of the spring: wo = (square Hz) Identify the parameter p: (Hz) Now assume that the system has the oscillating forcing function cos(wnt) with the same frequency as the spning's natural frequency. + 14x'+ 169x = cos(wat) Find the general solution.

A spring/mass/dashpot system has mass 5 kg, damping constant 70 kg/sec and spring constant 845 kg/sec/sec. Express the ODE for the system in the form + 2pr' +wr = 0 %3D Identify the natural (undamped) frequency of the spring: wo = (square Hz) Identify the parameter p: (Hz) Now assume that the system has the oscillating forcing function cos(wnt) with the same frequency as the spning's natural frequency. + 14x'+ 169x = cos(wat) Find the general solution.

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11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Question

A spring/mass/dashpot system has mass 5 kg, damping constant 70 kg/sec and spring constant 845
kg/sec/sec. Express the ODE for the system in the form
a"+ 2px' + wr = 0
Identify the natural (undamped) frequency of the spring:
wo 3=
(square Hz)
Identify the parameter p:
(Hz)
Now assume that the system has the oscillating forcing function cos(wod) with the same frequendy as the
spring's natural frequency.
+ 14a'+ 169a =
cos(wat)
Find the general solution.

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