A spring/mass/dashpot system has mass 9 kg, damping constant 288 kg/sec and spring constant 3249kg/sec/sec. Express the ODE for the system in the formx"+2px'+wx = 0Identify the natural (undamped) frequency of the spring:(square Hz)wo =Identify the parameter p:p=(Hz)Now assume that the system has the oscillating forcing function cos(wot) with the same frequency as thespring's natural frequency. Complexify the ODE and use the real part as a particular solution:x"+32x+361x = cos(wot)Xp=(meters)

x'' + 32x' + 361x = 0 The equation of motion for the spring-mass-dashpot system is: mx'' + cx' + kx…

Answered: A spring/mass/dashpot system has mass 9…

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A spring/mass/dashpot system has mass 9 kg, damping constant 288 kg/sec and spring constant 3249 kg/sec/sec. Express the ODE for the system in the form I"+2px'+wr=0 Identify the natural (undamped) frequency of the spring: (square Hz) = ولا Identify the parameter p: p= (Hz)