Figure P4.16 shows the step response of an electric vehicles mechanical brakes when the input is the

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Figure P4.16 shows the step response of an electric vehicle’s mechanical brakes when the input is the drive torque (N-m) and the output is the hydraulic brake pressure (bar) (Ringdorfer, 2011).

a. Find the transfer function of the system.

b. Use the values of the parameters for the transfer function obtained in Part a to find an expression for the brake pressure as a function of time.

c. Find the output in bars of the system 0.2 sec after the input is applied. Check your result against Figure P4.16.

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