(Solution) - A small bar magnet of mass 0 1 kg length 1 -(2025 Original AI-Free Solution)

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A small bar magnet of mass 0.1 kg, length 1 cm, and magnetic moment ? = 0.04 A ? m2 is located at the center of a 100-turn loop of 0.2 m diameter. The loop carries a current of 5.0 A. At equilibrium, the bar magnet is aligned with the field due to the current loop. The bar magnet is given a displacement along the axis of the loop and released. Show that if the displacement is small, the bar magnet executes simple harmonic motion, and find the period of this motion.