ME 318 Problem 1. Consider a system containing a rotor experiencing rotational imbalance. The system mass m = 50 kg, stiffness k = 5,000 N/m and damping c= = = = 100 N. s/m is only allowed to move in one direction. There exists an eccentric mass mo 0.5 kg that is at a distance of 0.1 m from the center of rotation of the rotor. Ignoring the effects of the weight force, Find: = a. The maximum steady state displacement of the mass due to rotational imbalance if the rotor's angular speed is 85 rpm. b. An expression for the particular solution of the system xp if w, = 85 rpm.
ME 318 Problem 1. Consider a system containing a rotor experiencing rotational imbalance. The system mass m = 50 kg, stiffness k = 5,000 N/m and damping c= = = = 100 N. s/m is only allowed to move in one direction. There exists an eccentric mass mo 0.5 kg that is at a distance of 0.1 m from the center of rotation of the rotor. Ignoring the effects of the weight force, Find: = a. The maximum steady state displacement of the mass due to rotational imbalance if the rotor's angular speed is 85 rpm. b. An expression for the particular solution of the system xp if w, = 85 rpm.
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![ME 318 Problem 1. Consider a system containing a rotor
experiencing rotational imbalance. The system mass m =
50 kg, stiffness k = 5,000 N/m and damping c = = 100 N.
s/m is only allowed to move in one direction. There exists
an eccentric mass mo 0.5 kg that is at a distance of 0.1 m
from the center of rotation of the rotor. Ignoring the effects
of the weight force, Find: = a. The maximum steady state
displacement of the mass due to rotational imbalance if the
rotor's angular speed is 85 rpm. b. An expression for the
particular solution of the system xp if w, = 85 rpm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2464b89b-3f15-4ae2-93f2-d5a8987dadae%2F8ad1b768-887b-453f-ad39-48633cf283b5%2Fwi6hiyk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ME 318 Problem 1. Consider a system containing a rotor
experiencing rotational imbalance. The system mass m =
50 kg, stiffness k = 5,000 N/m and damping c = = 100 N.
s/m is only allowed to move in one direction. There exists
an eccentric mass mo 0.5 kg that is at a distance of 0.1 m
from the center of rotation of the rotor. Ignoring the effects
of the weight force, Find: = a. The maximum steady state
displacement of the mass due to rotational imbalance if the
rotor's angular speed is 85 rpm. b. An expression for the
particular solution of the system xp if w, = 85 rpm.
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