2. A point mass m is strung on a vertical ring of radius R, and it oscillates freely with respect to its equilibrium point located at the lowest point of the ring. An external moment of force is applied that causes the ring to oscillate about its center in the form α =α cost where a is the angle of rotation. Determine the general movement of the mass m, and under what circumstances this movement enters into resonance, detailing this phenomenon.

2. A point mass m is strung on a vertical ring of radius R, and it oscillates freely with respect to its equilibrium point located at the lowest point of the ring. An external moment of force is applied that causes the ring to oscillate about its center in the form α =α cost where a is the angle of rotation. Determine the general movement of the mass m, and under what circumstances this movement enters into resonance, detailing this phenomenon.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

2. A point mass m is strung on a vertical ring of radius R, and it oscillates freely with respect to its equilibrium point
located at the lowest point of the ring. An external moment of force is applied that causes the ring to oscillate about
its center in the form
α = α₁ cost
where a is the angle of rotation. Determine the general movement of the mass m, and under what circumstances this
movement enters into resonance, detailing this phenomenon.

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