The elevator car E has mass m_E and the counterweight C has mass m_C. If a motor turns the driving sheave A with torque aθ² + b, determine the speed of the elevator when it has ascended a distance d starting from rest. Each sheave A and B has mass mS and radius of gyration k about its mass center or pinned axis. Neglect the mass of the cable and assume the cable does not slip on the sheaves.

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Units Used: Mg = 1000 kg Given: ME = 1.80 Mg 2.30 Mg mc = ms = 150 kg a = 0.06 N.m b = 7.5 N.m d = 12 m r = 0.35 m k = 0.2 m 8 = 9.81 m 2 S