Q.4 A device to produce vibrations consists of the two counter-rotating wheels, each carrying an eccentric mass mo= 1 kg with a centre of mass at a distance e = 12 mm from its axis of rotation. The wheels are synchronized so that the vertical positions of the unbalanced masses are always identical. The total mass of the device is 10 kg. For an equivalent spring stiffness of 900 kN/m, determine the amplitude of the force transmitted to the fixed mountings due to the imbalance of the rotors at a speed of 1500 rev/min. Neglect damping.

Q.4 A device to produce vibrations consists of the two counter-rotating wheels, each carrying an eccentric mass mo= 1 kg with a centre of mass at a distance e = 12 mm from its axis of rotation. The wheels are synchronized so that the vertical positions of the unbalanced masses are always identical. The total mass of the device is 10 kg. For an equivalent spring stiffness of 900 kN/m, determine the amplitude of the force transmitted to the fixed mountings due to the imbalance of the rotors at a speed of 1500 rev/min. Neglect damping.

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

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Q.4 A device to produce vibrations consists of the two counter-rotating wheels, each
carrying an eccentric mass mo = 1 kg with a centre of mass at a distance e = 12 mm from
its axis of rotation. The wheels are synchronized so that the vertical positions of the
unbalanced masses are always identical. The total mass of the device is 10 kg. For an
equivalent spring stiffness of 900 kN/m, determine the amplitude of the force transmitted
to the fixed mountings due to the imbalance of the rotors at a speed of 1500 rev/min.
Neglect damping.
mo
mo
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