The higher the center of gravity the easier it is to roll over.
You can use plumb lines to find the center of gravity of an object.
In both cases, because of their symmetry, the center of gravity is in the geometric center.
Yes, in a uniform gravitational field, the center of mass and the center of gravity coincide. This is because the force of gravity acts symmetrically on all parts of an object in a uniform field, resulting in the center of mass and center of gravity being in the same location.
The center of gravity of a vehicle depends on all three weight distributions. Technically, it is the point where all the weight could be concentrated for purposes of calculating vehicle performance. More practically, it is an indication of how well the weight is distributed. Of the three weight distributions, the location of the center of gravity in the vertical direction is the most important because it affects stability - high is bad, low is good.
To lower the center of gravity to improve handling and reduce the possibility of a roll over.
Should be about half way at the "belt-line"
You can use plumb lines to find its center of gravity. Hold it from one point and draw vertical line in direction of gravity (plumb line). Hold it from another point and do the same, and a third point if necessary; where the lines cross is center of gravity
It is best to keep the center of gravity low on any road vehicle. This can be done by design, and by loading the heaviest items lowest with lighter items higher up. So to answer your question, they need as low a center of gravity as is physically possible.
You need to get the weight on the front and rear axles, add them together to get the total weight. Divide each axle by the total to percentage on each axle. Measure the distance from center to center of axle. Times the distance by the percentage, and that is the distance the center of gravity is from the other axle. An example: A car weighing 3500lbs has a weight distribution of 60% front/40 %rear and has a wheel base of 100inches. The car has 2100lbs on the front axle(.60 x 3500lbs), the center of gravity is 60inches from the rear axle(.60 x 100). The height of the center of gravity is a lot more complex to find.
The center of gravity of a triangle can be found by adjusting the thickness. You also need to find the density at the intersection.
To reduce the centre of gravity and improve stability of the vehicle.