A conducting cylinder is free to roll along two inclined conducting rails connected to a power supply, as shown in the top view below (uphill is to the left). (The magnetic field vector B points exactly vertically downward, and so is not perpendicular to the inclined rails.) Find an expression for the minimum current I needed to make the cylinder roll uphill, in terms of w, |B|, the incline angle theta, and the cylinder's mass m. Do not assume that theta is small.

A conducting cylinder is free to roll along two inclined conducting rails connected to a power supply, as shown in the top view below (uphill is to the left). (The magnetic field vector B points exactly vertically downward, and so is not perpendicular to the inclined rails.) Find an expression for the minimum current I needed to make the cylinder roll uphill, in terms of w, |B|, the incline angle theta, and the cylinder's mass m. Do not assume that theta is small.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter22: Electric Current

Section: Chapter Questions

Problem 75A

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