Q3. A cruise control model is shown in figure A. For simplicity we assume that the rotational inertiaof the wheels is negligible and that there is friction retarding the motion of the car that isproportional to the car's speed with a proportionality constant b. The car can then be approximatedfor modelling purposes using the free-body diagram seen in figure B, where the engine impartsa force u is shown.A. Cruise control modelFrictionforce biB. Free-body diagram for cruise controlEquation of motion of the system is given byubx' = mx"1. Find the transfer function between the input u and the output car speed v.2. Assume that the car mass m is 1000 kg and friction coefficient, b = 42 N-sec/m. Obtain theexpression of system response to a step input u=564 N.3. Calculate time constant of the system and fill the following blank. (please keep one digit afterdecimal point)4. If mass of the car m is increased by 20%, will the cruise control system take longer or shortertime to reach steady-state response (stable response)? Please explain the reason with necessarycalculation.**Hint: v = x'

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Q3. A cruise control model is shown in figure A. For simplicity we assume that the rotational inertia of the wheels is negligible and that there is friction retarding the motion of the car that is proportional to the car's speed with a proportionality constant b. The car can then be approximated for modelling purposes using the free-body diagram seen in figure B, where the engine imparts a force u is shown.

Q3. A cruise control model is shown in figure A. For simplicity we assume that the rotational inertia of the wheels is negligible and that there is friction retarding the motion of the car that is proportional to the car's speed with a proportionality constant b. The car can then be approximated for modelling purposes using the free-body diagram seen in figure B, where the engine imparts a force u is shown.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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