3-14 As shown in Fig. P3-14, a rod in a uniform magnetic field is free to slide on two rails. The resistance of the rod and the rails are negligible. Electrical continuity between the rails and the rod is assumed, so that a current can flow through the rod. A damping force, Fa, tending to slow down the rod, is propor- tional to the square of the rod's speed as follows: Fa= k₁u² where kf = 1500. Assume that the inductance in this circuit can be ignored. Find the steady-state speed u of the rod, assum- ing the system extends endlessly to the right. R = 0.192 VDC = 50 V + u B = 1T Fig. P3-14 Problem 3-14. L=2m

Solved: 3-14 As shown in Fig. P3-14, a rod in a uniform magnetic field is free

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3 14 as shown in fig p3 14 a rod in a uniform magnetic field is free t

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3-14 As shown in Fig. P3-14, a rod in a uniform magnetic field is free to slide on two rails. The resistance of the rod and the rails are negligible. Electrical continuity between the rails and the rod is assumed, so that a current can flow through the rod. A damping force, Fa, tending to slow down the rod, is propor-