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has a stiff us damping A precision grinding achine is supported on constant of 4 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 4*10^(-6)m. Assume that the grinding machine and the wheel are a rigid body of weight 3000 N. Use Omega-400*Pi

has a stiff us damping A precision grinding achine is supported on constant of 4 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 4*10^(-6)m. Assume that the grinding machine and the wheel are a rigid body of weight 3000 N. Use Omega-400*Pi

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
Problem 1.1MA
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A precision grinding machine is supported on an isolator that has a stiffness of 2 MN/m and a viscous damping constant of 4 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 4*10^(-6)m. Assume that the grinding machine and the wheel are a rigid body of weight 3000 N. Use omega=400*Pi
Transcribed Image Text:A precision grinding machine is supported on an isolator that has a stiffness of 2 MN/m and a viscous damping constant of 4 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 4*10^(-6)m. Assume that the grinding machine and the wheel are a rigid body of weight 3000 N. Use omega=400*Pi
Expert Solution
Step 1 Given

The stiffness is k=2 MN/m=2*106 N/m.

The viscous damping constant is c=4 kN-s/m=4*103 Ns/m.

The weight of the rigid body is W=3000 N.

The amplitude of the vibration is x=4*10-6 m.

The speed is ω=400π

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