A racing car weighs \(20 \mathrm{kN}\). It has a wheel base of \(2 \mathrm{~m}\), track width \(1 \mathrm{~m}\) and height of C.G. 0.3 above the ground level and lies mid-way between the front and rear axles. The engine flywheel rotates at \(3000 \mathrm{rpm} \mathrm{cw}\) when viewed from the front. The moment of inertia of the flywheel is \(4 \mathrm{~kg} \cdot \mathrm{m}^{2}\) and moment of inertia of each wheel is \(3 \mathrm{~kg} \cdot \mathrm{m}^{2}\). Find the reactions between the wheels and the ground when the car takes a turn on a curve of \(15 \mathrm{~m}\) radius towards right at \(30 \mathrm{~km} / \mathrm{h}\). The wheel radius is \(0.4 \mathrm{~m}\). Take consideration the gyroscopic and centrifugal effects.