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A 3 lb motor is rigidly mounted in the middle of a 17.6 lb, 72 inch long beam, as shown in the figure below. The beam is made of a solid piece of aluminum with E 10(10) ksi and area moment of inertia, I = 0.625 in. The mot or is running at 1650 RPM and due to rotor problems generates a harmonic force with an amplitude of 6 lbs on the beam. Assume a 10% damping ratio.

A 3 lb motor is rigidly mounted in the middle of a 17.6 lb, 72 inch long beam, as shown in the figure below. The beam is made of a solid piece of aluminum with E 10(10) ksi and area moment of inertia, I = 0.625 in. The mot or is running at 1650 RPM and due to rotor problems generates a harmonic force with an amplitude of 6 lbs on the beam. Assume a 10% damping ratio.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A 3 lb motor is rigidly mounted in the middle of a 17.6 lb, 72 inch long beam, as shown in the figure below. The beam is made of a solid piece of aluminum with E 10(10) ksi and area moment of inertia, I = 0.625 in. The mot or is running at 1650 RPM and due to rot or problems generates a harmonic force with an amplitude of 6 lbs on the beam. Assume a 10% damping ratio. (a) Determine the effective mass and stiffness for this sy st em (b) Determine the natural frequency for this system. (c) Determine the amplitude (magnitude) and phase angle of the steady-st ate sy st em resp onse.
Transcribed Image Text:A 3 lb motor is rigidly mounted in the middle of a 17.6 lb, 72 inch long beam, as shown in the figure below. The beam is made of a solid piece of aluminum with E 10(10) ksi and area moment of inertia, I = 0.625 in. The mot or is running at 1650 RPM and due to rot or problems generates a harmonic force with an amplitude of 6 lbs on the beam. Assume a 10% damping ratio. (a) Determine the effective mass and stiffness for this sy st em (b) Determine the natural frequency for this system. (c) Determine the amplitude (magnitude) and phase angle of the steady-st ate sy st em resp onse.
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