An automobile wheel test rig consists of a uniform disk A, of mass mA = 5000kg and radius rA = 1.5 m, that can rotate freely about its fixed center C and over which the wheel B of an automobile is made to roll. The wheel B, with center and center of mass at D, is mounted on a shaft (not shown) that holds D fixed while allowing the wheel to rotate about D. The wheel has diameter d = 0.62m, mass mB = 21.5kg, and mass moment of inertia about its mass center ID = 44kg·m2. Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip over A.
If M = 1500N·m, determine the number of revolutions of B needed to reach conditions simulating a car speed of 100 km/h.
Figure P8.21
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