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Question: a vehicle towing a trailer through a springdamper coupling hitch...

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A vehicle towing a trailer through a spring-damper coupling hitch is shown in Fig. 1. The following parameters and variables are defined: M is the mass of the trailer, kh is the spring coefficient of the trailer, towing vehicle, y2(t) is the displacement of the trailer, and f(t) is the force of the towing vehicle. ) is the displacement of the y2 Figure 1: Trailer-towing system (a) Write the differential equation of the system (b) Find the transferfinction Y1 (S) F(s) where F() and Y,(6) are the Laplace transform of f) and y,(t), respectively.

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