Two metal rails parallel to each other, distance W apart, are set vertically (al

Question

Two metal rails parallel to each other, distance W apart, are set vertically (along the gravity). A metal bar of mas m can slide up and down the rails. It remains perpendicular to the rails at all times and touches both of them at all times. Rails are connected at the top by resistor R. No mechanical resistance or friction. Constant uniform magnetic field, B, is perpendicular to rails and the bar. Inductance of the loop can be neglected. 1. If rails have negligible resistance, and the bar is released from the top-most position, find its velocity as a function of time. 2. If the top resistor is heating up and increasing in its resistance as R + kt, find velocity of the bar as a function of time, assuming that there is no gravity and the bar starts at t = O from the topmost position with velocity v(0) not equals to 0.

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Two metal rails parallel to each other, distance W apart, are set vertically (al

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