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Question

Figure Q3 shows a 1000-kg race car, whereby point G is its centre of gravity.

a. If the coefficient of static friction between the rear wheels and the pavement is µ = 0.4, analyse if it is possible for the driver to lift the front wheels A ("wheely"), while the rear wheels roll without slipping. Neglect the mass of the wheels and assume that the front wheels are free to roll. Show the free body diagram and the kinetics diagram.

b. If all the four wheels have contact with the ground, rear wheels roll without slipping and front wheels are free to roll, analyse the frictional force at each of the rear wheel

B and the normal force at each of the front wheel A and at each of the rear wheel B, in order to achieve an acceleration of a = 6 m/s². Neglect the mass of the wheels. Show the free body diagram and the kinetics diagram.

Fig: 1