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An apparatus for testing the skid resistance of automobile tires is constructed as shown in Fig. The tire is initially motionless and is held in a light framework that is freely pivoted at points A and B. The rotational inertia of the wheel about its axis is 0.750 kg· m 2 , its mass is 15.0 kg, and its radius is 30.0 cm. The tire is placed on the surface of a conveyor belt that is moving with a surface speed of 12.0 m/s, such that AB is horizontal. (a) If the coefficient of kinetic friction between the tire and the conveyor belt is 0.600, what time will be required for the wheel to achieve its final angular velocity? (b) What will be the length of the skid mark on the conveyor surface?
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