The bar of mass m in Figure P31.66 is pulled horizontally across parallel rails by a mass less string that passes over an ideal pulley and is attached to a suspended object of mass M. The uniform magnetic field has a magnitude B, and the distance between the rails is !. The rails are connected at one end by a load resistor R. Derive an expression that gives the horizontal speed of the bar as a function of time, assuming that the suspended object is released with the bar at rest at t = 0. Assume no friction between rails and bar.

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