A lathe can be modeled as an electric motor mounted on a steel table. The table plus rotor have a mass of 100 kg. The rotating parts of the lathe have a mass of 10 kg at a distance 0.1 m from the center. The damping ratio of the system is measured to be zeta= 0.06 (viscous damping) and its natural frequency is 7.5 Hz and the driving frequency is 30HZ The natural frequency in rad/s is Choose... + The driving frequency in rad/s is Choose... + The frequency ratio is Choose... The amplitude of the steady-state displacement of the motor (in mm) Choose... the phase shift of the steady state displacement (in rad) is Choose...

A lathe can be modeled as an electric motor mounted on a steel table. The table plus rotor have a mass of 100 kg. The rotating parts of the lathe have a mass of 10 kg at a distance 0.1 m from the center. The damping ratio of the system is measured to be zeta= 0.06 (viscous damping) and its natural frequency is 7.5 Hz and the driving frequency is 30HZ The natural frequency in rad/s is Choose... + The driving frequency in rad/s is Choose... + The frequency ratio is Choose... The amplitude of the steady-state displacement of the motor (in mm) Choose... the phase shift of the steady state displacement (in rad) is Choose...

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 rotating machine of 400 kg is similar to the system shown below. It operates at 3600 rpm (note: 1 rpm = 2π/60 rad/s). The machine is unbalanced such that its effect is equivalent to a 4 kg mass located 20 cm from the axis of rotation. An isolator with a spring stiffness of 8x106 N/m and a damping constant of 2x104 Ns/m is placed between the machine and the foundation. Determine the steady state response of the system. Find the force transmitted to the foundation and transmissibility of the isolator. Find the damping ratio of the system ζ . Find the transmissibility of the system, Tf. Find the frequency ratio of the system, β. Find the amplitude of the harmonic excitation force of the system, Fo in Newton (N). Find the displacement amplitude of the steady state response of the system, X in millimeters (mm). Find the damped frequency of the system, ωd in rad/s. Find the force transmitted to the foundation, FT in Newton (N). Find the frequency of the harmonic…
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A rotating machine of 400 kg is similar to the system shown below. It operates at 3600 rpm (note: 1 rpm = 2π/60 rad/s). The machine is unbalanced such that its effect is equivalent to a 4 kg mass located 20 cm from the axis of rotation. An isolator with a spring stiffness of 8x106 N/m and a damping constant of 2x104 Ns/m is placed between the machine and the foundation. Determine the steady state response of the system. Find the force transmitted to the foundation and transmissibility of the isolator. Find the damping ratio of the system ζ . Find the transmissibility of the system, Tf. Find the frequency ratio of the system, β. Find the amplitude of the harmonic excitation force of the system, Fo in Newton (N). Find the displacement amplitude of the steady state response of the system, X in millimeters (mm). Find the damped frequency of the system, ωd in rad/s. Find the force transmitted to the foundation, FT in Newton (N). Find the frequency of the harmonic…
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