Assignment:
A wood cylinder of mass m = .250 kg and length L=.100m, with N =10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle theta to the horizontal, with the plane coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.5 T, what is the least amount of current i through the coil that keeps the cylinder from rolling down the incline?
Provide complete and step by step solution for the question, use formulas.