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

See similar textbooks

Related questions

Q: A machine of mass 203.5 kg is mounted on four parallel springs each of stiffness 1.6 x 105 N/m. When…

Q: In a damped single-degree-of-freedom system with a mass of m = 10 kg, stiffness coefficient k = 4000…

Q: A machine of mass 170.8 kg is mounted on four parallel springs each of stiffness 2.2 x 105 N/m. When…

A: The given values are - m =170.8 kg , k = 2.2x105 N/m , f=57.5 Hz , A = 1.4 mm It is also given that…

Q: spring mass system with a natural frequency fn = 20 Hz is attached to a vibration table. The table…

Q: Given the vibrating system below: K4 Find the following K3 Y(t) =Ysin30t where fos = 30 and K1…

Q: Engineers can determine properties of a structure that is modeled as a damped spring oscillator,…

A: Given data: The mass of the oscillator is m=0.295 kg The frequency of the oscillator is f=22.6 Hz…

Q: Question 2: A sensitive instrument of mass 100 kg is installed at a location that is subjected to…

A: INTRODUCTION : In this problem, a sensitive device with certain features is used to measure the…

Q: QUESTION 2 A vibrating system can be modeled with a mass weighs 20 kg and supported on springs and…

A: The objective of the question is to determine the displacement of a vibrating system after 1 second…

Q: A spring with an m-kg mass and a damping constant 3 (kg/s) can be held stretched 2.5 meters beyond…

A: The damping constant is The stretched in spring by a force is .

Q: An accelerometer is composed of weight W = 0.042 lb suspended by a spring for which k = 5 lb/in.,…

Q: A 2-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is…

A: The mass of block is The spring constant is .The damping constant is .The initial displacement is…

Q: A mass of 7.9 kg oscillates at the end of a spring of stiffness 26.1 Nm¹. If the damping ratio is…

Q: An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types…

A: Given : ω0 = 3.14 rad/s ζ=0.1,0.5,1 To find: a) Frequency of oscillator b) Displacement at t = 2…

Q: A particular naturally vibrating system is subject to damping. The system consists of a small mass m…

A: Given: m=0.1 kgk=200 N/mc=0.25 kg/s

Q: A vibration system

A: Displacement x = 1.268*10-10m Velocity v = -1.425*10-9m/

Q: As shown in figure a mass of 100 kg is held between two springs. The natural frequency of vibration…

Q: The natural frequency of a system is determined to be 15 Hz ignoring the effects of damping.…

Q: A machine of mass 112.7 kg is mounted on four parallel springs each of stiffness 3.2 x 105 N/m. When…

Q: assuming the packaging can be modeled as a viscous damper with a damping ratio of 0.2? e. Is the…

Q: A machine of mass 203.5 kg is mounted on four parallel springs each of stiffness 1.6 x 105 N/m. When…

A: Introduction In this problem, we will calculate the magnitude of the force transmitted to the…

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

100%

Mohammed Mahad Tabook
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... +

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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…
Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping? Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant. Using c=5.0, what is the new period of oscillation. What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.
A structure that can be idealized as a SDOF system has a mass 100 kg, a stiffness of 40 kN/m and a damping ratio of 0.10. If it is subjected to a harmonic dynamic force given by p(t) = 500 sin(15 t) N, determine (a) the dynamic amplification under steady-state conditions; (b) the maximum velocity of the steady state vibration; and (c) the maximum amplitude if the forcing frequency was equal to the system frequency (a resonant condition).
2. Calculate the natural frequency and damping ratio for the system in figure below given the values m = 10 kg, c = 100 kg/s, k₁ 4000 N/m, k2 200 N/m, and k3 1000 N/m. = Assume that no friction acts on the rollers. Is the system overdamped, critically damped, or underdamped? C кий m k₂ k3
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…
Obtain X1(s)/F(s) and then determine the damping coefficient C of the mechanical system below. m2 =160.1 kg, k =953.7 N/m, k, =1,451.7 N/m, b, =148.0 N-s/m. X1(t) x2(t) k2 f2(t) m2 k, b2 massless plate Sonraki
A vibratory system consists of a spring of stiffness 5 N/mm and a mass of 10 kg. Mass of spring is 3 kg. The natural frequency of the system in rad/sec is
please I want really correct accurate answer for this question