Answer Happy

You wish to answer (to a first approximation) the following: Consider a car going around a corner (moving in a circle) at high speed. If it is going at the top speed it can (while staying in the circle), what determines whether it will roll over? You start by drawing a picture of a car going counterclockwise around a circle, and focus on two numbers about the car - the height of its center of mass (h) - which you assume is centered horizontally - and its track (distance between wheels - 2L ) Viaur from Δ honro View from Behind A. What does "going at the top speed it can" tell you? Why specify that? B. If it were to roll over at the time pictured, which way would it roll and why? C. What is the condition for "rolling" - what happens just before the car rolls?
D. If you want the car to start to roll just as the "top speed" is reached, what ratio of the half-track to CoM height (L/h) should you use? For safety's sake, should this be considered a minimum or a maximum value of that ratio? Note: The answer will be in terms of one parameter that we haven't mentioned. You probably have somewhat of a feeling of the range of typical values for this. Choose a value in that range that is easy to work with and check whether this squares with what you know about cars.