604_Dynamics 11ed Manual

604_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Engineering Mechanics - Dynamics Chapter 18 1 2 m rod a 2 3 ω 1 2 Fa 2 π + M 2 + 1 2 m rod a 2 3 2 2 = 2 Find 2 () = 2 11.2 rad s = Problem 18-18 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 constant torque M , determine the speed of the elevator when it has ascended a distance d starting from rest. Each sheave A and B has mass m S 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. Units Used: Mg 1000 kg = Given: m E 1.80 Mg = d 10 m = m C 2.30 Mg = r 0.35 m = m S 150 kg = k 0.2 m = M 100 N m = g 9.81 m s 2 = Solution: M d r m E m C () gd 1 2 m E m C + 2 m S k 2 r 2 +
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