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? A four degrees-of-freedom half car model. This is an extended model of a half of the car and is used to predict the bouncing as well as the pitching motion of the car (Figure 4). Note that the front and rear suspension can have different parameter values. In this case, the excitation from the road to a moving vehicle will affect the front wheels first and the rear wheels later. This results in a pitching motion which can be very annoying, much more than bouncing. A b a ? C mass M N3 Naz ko Xo ?? speed v P Figure 4. A Four degrees-of-freedom half car model

          ? A four degrees-of-freedom half car model.
This is an extended model of a half of the car and is used to predict the bouncing as well as
the pitching motion of the car (Figure 4). Note that the front and rear suspension can have
different parameter values. In this case, the excitation from the road to a moving vehicle will
affect the front wheels first and the rear wheels later. This results in a pitching motion which
can be very annoying, much more than bouncing.
A
b
a
?
C
mass M
N3
Naz
ko
Xo
??
speed v
P
Figure 4. A Four degrees-of-freedom half car model
        
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? A four degrees-of-freedom half car model.
This is an extended model of a half of the car and is used to predict the bouncing as well as
the pitching motion of the car (Figure 4). Note that the front and rear suspension can have
different parameter values. In this case, the excitation from the road to a moving vehicle will
affect the front wheels first and the rear wheels later. This results in a pitching motion which
can be very annoying, much more than bouncing.
A
b
a
?
C
mass M
N3
Naz
ko
Xo
??
speed v
P
Figure 4. A Four degrees-of-freedom half car model

Added by Miguel C.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A four degrees-of-freedom half-car model. This is an extended model of half of a car and is used to predict the bouncing as well as the pitching motion of the car (Figure 4). Note that the front and rear suspension can have different parameter values. In this case, the excitation from the road to a moving vehicle will affect the front wheels first and the rear wheels later. This results in a pitching motion which can be very annoying, much more than bouncing. a Ax X14 speed v .a sp' mass M Figure 4. A Four degrees-of-freedom half-car model
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Transcript

-
00:01 All right, so let's say a car is traveling over a road that sinusoidally varies kind of like this and the wavelength here is 10 meters and these amplitudes are 0 .05 meters.
00:14 So that's kind of like the halfway distance.
00:16 And so if we model the car suspension like this, let's say this is an individual tire like this, we wanna know what speed for a car with a mass of a thousand kilograms will this induce like high frequency oscillations? so, all right, we're told the spring constant here i think is 20 ,000 newtons per meter of the spring.
00:43 So the natural frequency is gonna be one over two pi times the square root of k over m...
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