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Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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
Transcribed Image Text: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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- A thin, circular ring of mass m and radius r is suspended at 0. Determine the natural frequency of small oscillations of this ring in the xy plan. y Hint: The moment of inertia of a thin, circular ring of mass m and radius r about its central axis is I = mr². In this problem, the ring rotates about point 0; therefore, we need to use the Parallel Axis Theorem.arrow_forwardDerive the differential equation of motion for the system shown in its equilibrium position. Neglect the mass of link AB and assume small oscillations. Use the values m1=22 kg, m2=31 kg,k=800 N/m, c=163 N·s/m, a=340 mm, and b=610 mm and calculate the damping factorarrow_forward1. Consider a simplified model for a single-story building as shown in the figure below. Assume that the columns are rigidly connected at both ends, and the floor of the building is moving sideways only. 1. Find the kinetic energy of the building as it moves sideways. 2. Find the potential energy of the building as it moves sideways. 3. Determine the natural frequency of this system.arrow_forward
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