measuring the height of CG ( vehicle center of gravity )

 
measuring the height of vehicle CG(center of gravity)

1. measuring CG in the longitudinal axis.


From the moment equilibrium about y axis passing through the center of tire-road contact patch,


From the moment equilibrium about  y axis passing through the center of tire-road contact patch,



2. measuring CG in the inclined vehicle.



Hypotenuse of yellow rectangular triangle is (h-R).
Therefore, opposite of triangle is (h-R)sinθ.
Sum of vertical forces should be zero.


Sum of the moment about lateral axis passing through the CG should be zero.


2. measuring CG in the inclined vehicle.
Equation of h above can be simplified as follow.



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