Each wheel of a four-wheeled rear engine automobile has a moment of inertia of 2.4 kg.m2 and an effective diameter of 660 mm. The rotating parts of the engine have a moment of inertia of 1.2 kg.m2 . The gear ratio of engine to the back wheel is 3 to 1. The engine axis is parallel to the rear axle and the crank shaft rotates in the same sense as the road wheels. The mass of the vehicle is 2200 kg and the centre of the mass is 550 mm above the road level. The track width of the vehicle is 1.5 m. Determine the limiting speed of the vehicle around a curve with 80 m radius so that all the four wheels maintain contact with the road surface.