Derive an expression for the period of small-amplitude oscillations of a compass…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Derive an expression for the period TT of small-amplitude oscillations of a compass needle of moment of inertia II and magnetic dipole moment magnitude pp that pivots freely in a uniform magnetic field of magnitude BB. Express TT solely in terms of II, pp, and BB.

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