We can model the suspension system of a car's body above a wheel by a mass-spring-dashpot system, where we describe the vertical position x (t) (meters) of the car's body: mä + bx + kx = by + ky y = A cos (at) where the input y (t) (meters) is the height of the road directly beneath the wheel at time t (seconds) and depends the bumps on the road and how fast the car is driving over them. Find the complex gain G (@) for the car suspension system, in terms of the system parameters m (kg), k (N/m), b (Ns/m), and @ (rad/s).

We can model the suspension system of a car's body above a wheel by a mass-spring-dashpot system, where we describe the vertical position x (t) (meters) of the car's body: mä + bx + kx = by + ky y = A cos (at) where the input y (t) (meters) is the height of the road directly beneath the wheel at time t (seconds) and depends the bumps on the road and how fast the car is driving over them. Find the complex gain G (@) for the car suspension system, in terms of the system parameters m (kg), k (N/m), b (Ns/m), and @ (rad/s).

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.27P

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