The electric motor has a mass of 50 kg and is supported by four springs, each spring having a stiffness of 100 N/m. If the motor turns a disk D which is mounted eccentrically, 20 mm from the disk's center, determine the angular velocity at which resonance occurs. Assume that the motor only vibrates in the vertical direction. 20 mm- k= 100 N/m k = 100 N/m Ofn = f = 2.83 Hz Own Wn=w = 6.75 rad/s 2.83 rad/s 0.45 Hz Own=w= Own = w = O fn = f =

The electric motor has a mass of 50 kg and is supported by four springs, each spring having a stiffness of 100 N/m. If the motor turns a disk D which is mounted eccentrically, 20 mm from the disk's center, determine the angular velocity at which resonance occurs. Assume that the motor only vibrates in the vertical direction. 20 mm- k= 100 N/m k = 100 N/m Ofn = f = 2.83 Hz Own Wn=w = 6.75 rad/s 2.83 rad/s 0.45 Hz Own=w= Own = w = O fn = f =

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 undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

The electric motor has a mass of 50 kg and is supported by
four springs, each spring having a stiffness of 100 N/m. If
the motor turns a disk D which is mounted eccentrically,
20 mm from the disk's center, determine the angular
velocity at which resonance occurs. Assume that the
motor only vibrates in the vertical direction.
20 mm
k= 100 N/m k = 100 N/m
Ofn = f = 2.83 Hz
Wn = w = 6.75 rad/s
Own
Wn = w = 2.83 rad/s
Ofn = f = 0.45 Hz

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