Problem 3.296

A copper connector of mass \(m\) slides down two smooth copper bars, set at an angle \(\alpha\) to the horizontal, due to gravity (Fig. 3.84 ). At the top the bars are interconnected through a resistance \(R .\) The separation between the bars is equal to l. The system is located in a uniform magnetic field of induction \(B\), perpendicular to the plane in which the connector slides. The resistances of the bars, the connector and the sliding contacts, as well as the self-inductance of the loop, are assumed to be negligible. Find the steady-state velocity of the connector.