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).
Introductory Circuit Analysis (13th Edition)
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![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 (@t)
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d412eb2-dc32-49b3-8141-2f66064e6e6e%2F067faefe-7274-474f-b05f-20c6c0d0cdeb%2Ftxvif3b_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 (@t)
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).
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