2. Consider a train consisting of an engine and a car, as shown below. COODO O A controller is applied to the train so that it has a smooth start and stop, along with a constant-speed ride. The mass of the engine and the car are M and m, respectively. The two are held together by a spring with the stiffness coefficient of K. F represents the force applied by the engine, and u represents the coefficient of rolling friction. If the train only travels in one direction: a. Draw the free-body diagram of the system. b. Find the transfer function.

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2. Consider a train consisting of an engine and a car, as shown below.
COODO O
A controller is applied to the train so that it has a smooth start and stop, along with a constant-speed
ride. The mass of the engine and the car are M and m, respectively. The two are held together by a
spring with the stiffness coefficient of K. F represents the force applied by the engine, and u represents
the coefficient of rolling friction. If the train only travels in one direction:
a. Draw the free-body diagram of the system.
b. Find the transfer function.
Transcribed Image Text:2. Consider a train consisting of an engine and a car, as shown below. COODO O A controller is applied to the train so that it has a smooth start and stop, along with a constant-speed ride. The mass of the engine and the car are M and m, respectively. The two are held together by a spring with the stiffness coefficient of K. F represents the force applied by the engine, and u represents the coefficient of rolling friction. If the train only travels in one direction: a. Draw the free-body diagram of the system. b. Find the transfer function.
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