Find the response of the car-trailer system described in Problem 5.73 if the values of initial displacement and velocity are \(15 \mathrm{~cm}\) and \(0 \mathrm{~m} / \mathrm{s}\) for the car and \(-7.5 \mathrm{~cm}\) and \(0 \mathrm{~m} / \mathrm{s}\) for the trailer.

Data From Problem 5.73:-

Figure 5.61 shows a \(2000-\mathrm{kg}\) car connected to a \(1000-\mathrm{kg}\) trailer by a flexible hitch having a stiffness of \(180 \mathrm{kN} / \mathrm{m}\). Assuming that both the car and the trailer can move freely on the roadway, determine the natural frequencies and mode shapes of vibration of the system.

Transcribed Image Text:

M FIGURE 5.61 Car connected to a trailer. k 000 m