Angular motion is transmitted from a driver wheel A to the driven wheel B by friction between the wheels at C. If A always rotates at constant rate ω_A and the coefficient of kinetic friction between the wheels is μ_k, determine the time required for B to reach a constant angular velocity once the wheels make contact with a normal force F_N. What is the final angular velocity of wheel B? Wheel B has mass m_B and radius of gyration about its axis of rotation k_G.

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Given: A = 16 k = 0.2 rad S mB = kG 90 kg a = 40 mm c = 4 mm = 120 mm b = 50 mm FN = 50 N