Why might tall narrow SUVs and buses be prone torollover

Chapter 11, Problem 11.67

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Why might tall narrow SUVs and buses be prone torollover? Consider a vehicle rounding a curve of radius Ron a flat road. When just on the verge of rollover, its tires onthe inside of the curve are about to leave the ground, so thefriction and normal force on these two tires are zero. Thetotal normal force on the outside tires is Fn and the totalfriction force is Ffr . Assume that the vehicle is not skidding.(a) Analysts define a static stability factor SSF = w/2h,where a vehicles track width w is the distance betweentires on the same axle, and h is the height of the cm abovethe ground. Show that the critical rollover speed iswV c = 'l R g \2 h )-[Hint: Take torques about an axis through the center ofmass of the SUV, parallel to its direction of motion.](b) Determine the ratio of highway curve radii (minimumpossible) for a typical passenger car with SSF = 1.40 andan SUV with SSF = 1.05 at a speed of 90 km/h.