A spring/mass/dashpot system has mass 16 kg, damping constant 448 kg/sec and spring constant 5776kg/sec/sec. Express the ODE for the system in the formx"+2px'+w²x = 0Identify the natural (undamped) frequency of the spring:wo =Identify the parameter p:p =Xp(square 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"+28x'+361x = cos(wot)=(Hz)(meters)

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A spring/mass/dashpot system has mass 16 kg, damping constant 448 kg/sec and spring constant 5776 kg/sec/sec. Express the ODE for the system in the form x"+2px'+w²x = 0 Identify the natural (undamped) frequency of the spring: (square Hz) wo = Identify the parameter p: P = Now assume that the system has the oscillating forcing function cos(wot) with the same frequency as the spring's natural frequency. Complexify the ODE and use the real part as a particular solution: x"+28x'+361x = cos(wot) Xp (Hz) = (meters)

A spring/mass/dashpot system has mass 16 kg, damping constant 448 kg/sec and spring constant 5776 kg/sec/sec. Express the ODE for the system in the form x"+2px'+w²x = 0 Identify the natural (undamped) frequency of the spring: (square Hz) wo = Identify the parameter p: P = Now assume that the system has the oscillating forcing function cos(wot) with the same frequency as the spring's natural frequency. Complexify the ODE and use the real part as a particular solution: x"+28x'+361x = cos(wot) Xp (Hz) = (meters)