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 =...


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<br>x (t) (meters) of the car's body:<br>mä + bx + kx =<br>= by + ky<br>y = A cos (@t)<br>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<br>how fast the car is driving over them.<br>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).<br>

Extracted 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).

Jun 10, 2022
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