The total mass of the shown motor is 80-kg. It is observed that placing the motor on a beam produces a static downward displacement of 40-mm. When the motor rotates at an angular of 145-rev/min, the measured amplitude of the beam mid-span deflection is 10-mm. It also is observed that at a rotation rate of 145-rev/min, 50 mm the radial line to the center of mass of each rotor is 75° above horizontal when the beam is at its static reference position (where q = 0). (a) Determine the damping ratio of this vibrating system.

Elements Of Electromagnetics
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5)
The total mass of the shown motor is 80-kg. It
is observed that placing the motor on a beam
produces a static downward displacement of
40-mm. When the motor rotates at an angular
of 145-rev/min, the measured amplitude of the
beam mid-span deflection is 10-mm. It also is
observed that at a rotation rate of 145-rev/min,
50 mm
the radial line to the center of mass of each
rotor is 75° above horizontal when the beam is
at its static reference position (where q =
0).
(a) Determine the damping ratio of this
vibrating system.
(b) Determine the imbalance ɛm.
(c) Determine the smallest possible amplitude
of vibration of the beam if the motor operates
at a rate that is much larger than the natural
frequency of the system.
Transcribed Image Text:5) The total mass of the shown motor is 80-kg. It is observed that placing the motor on a beam produces a static downward displacement of 40-mm. When the motor rotates at an angular of 145-rev/min, the measured amplitude of the beam mid-span deflection is 10-mm. It also is observed that at a rotation rate of 145-rev/min, 50 mm the radial line to the center of mass of each rotor is 75° above horizontal when the beam is at its static reference position (where q = 0). (a) Determine the damping ratio of this vibrating system. (b) Determine the imbalance ɛm. (c) Determine the smallest possible amplitude of vibration of the beam if the motor operates at a rate that is much larger than the natural frequency of the system.
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