Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Textbook Question

Chapter 29, Problem 29.74AP

Review. (a) Show that a magnetic dipole in a uniform magnetic field, displaced from its equilibrium orientation and released, can oscillate as a torsional pendulum (Section 15.5) in simple harmonic motion. (b) Is this statement true for all angular displacements, for all displacements less than 180°, or only for small angular displacements? Explain. (c) Assume the dipole is a compass needle—a light bar magnet—with a magnetic moment of magnitude μ. It has moment of inertia I about its center, where it is mounted on a frictionless, vertical axle, and it is placed in a horizontal magnetic field of magnitude B. Determine its frequency of oscillation. (d) Explain how the compass needle can be conveniently used as an indicator of the magnitude of the external magnetic field. (e) If its frequency is 0.680 Hz in the Earth’s local field, with a horizontal component of 39.2 μT, what is the magnitude of a field parallel to the needle in which its frequency of oscillation is 4.90 Hz?

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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Chapter 29, Problem 29.73AP

Chapter 29, Problem 29.75AP

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Chapter 29 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 29 - An electron moves in the plane of this paper...Ch. 29 - Prob. 29.2QQ Ch. 29 - A wire carries current in the plane of this paper...Ch. 29 - (i) Rank the magnitudes of the torques acting on...Ch. 29 - Prob. 29.1OQ Ch. 29 - Rank the magnitudes of' the forces exerted on the...Ch. 29 - A particle with electric charge is fired into a...Ch. 29 - A proton moving horizontally enters a region where...Ch. 29 - Prob. 29.5OQ Ch. 29 - A thin copper rod 1.00 in long has a mass of 50.0...

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Solution Summary: The author explains that the magnetic dipole in a uniform magnetic field, displaced from its equilibrium orientation and released can oscillate as torsional equilibrium.

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