In Figure, let ??= 30^o, m?= 0.4 kg, ? = 15 m, and R?= 2.0 ?. The rod starts from rest at the top of the inclined plane at t?= 0. The rails have negligible resistance. There is a constant, vertically directed magnetic field of magnitude B?= 1.2 T.

(a) Find the emf induced in the rod as a function of its velocity down the rails.

(b) Write Newton's law of motion for the rod; show that the rod will approach a terminal speed and determine its value.

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B