Sol Q2(10 Marks): An air compressor of weight 981 N is mounted on an elastic foundation. It hasbeen observed that when a harmonic force of amplitude 100 N is applied to the compressor,the steady-state displacement of 5 mm occurs at a frequency of 300 rpm. The compressor isthen modified to include a damping element in the foundation with a damping coefficient of905 N.s/m. Determine (a) the equivalent stiffness (b) the steady state displacement of thefoundation that would limit the 400 rpm, (c) the force transmitted to the foundation.

Answered: Image /qna-images/answer/7a22e0b0-b9b3-4cd0-b51d-e7af98e223b9.jpg

Answered: Q2(10 Marks): An air compressor of…

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

Similar questions

Vipretion
A single degree of freedom mass-spring-damper system is subject to vibration under the influence of a harmonic force. On my site, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is F0=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. 1) Calculate the damping ratio of the system (ξ) a.1 b.0.7 c.0.9 d.0.8 2)Calculate the magnification factor (M) of the system. a.0.86 b.1.25 c.0.312 D.0.625 3-) Calculate the maximum vibration amplitude (X) (meters). a.0.2 b.0.1 c.0.4 D.0.3
A vehicle weighing 5,000 lb is supported on four identical springs and four identical viscous dampers. The static deflection of the vehicle under its own weight is 10 in. Determine the damping required for each of the dampers so that the critical damping is achieved.
A mass of flexible machine part, m1 of 30 kg was observed to vibrate badly at frequency of 10 Hz. The vibration was caused by the application of a harmonic force, F of the flexible part. A judgment was made by a mechanical engineer that the viviauon was excessive because the frequency of the harmonic force coincides with the natural frequency of the flexible part. 100 N to (b) If the flexible machine part was be modeled as a spring-mass-damper system, calculate the value of equivalent stiffness, k, of the system. Give final answer in unit of kN/m. (c) Analyze the mass and stiffness of an absorber that would eliminate vibrations of the flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, Xa at 10 Hz was observed to be 0.3 cm. (d) If the flexible machine part is operated in the speed range of 500 to 750 rpm, justify whether the design of vibration absorber in Q3(c) is safe to be used or not.
(a) Determine the damping ratio; (b) State whether the system is underdamped, critically damped, or overdamped; (c) Determine x(t) or θ(t) for the given initial conditions
1) A 45 kg machine is mounted on four parallel springs each of stiffness 2x10^5 N/m and a damping ratio of 0.1. When the machine operates at 32 Hz the machine's steady-state amplitude is measured as 1.5 mm. What is the magnitude of the excitation provided to the machine at this speed?
The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to reduce to 15 % of its initial value after 5 cycles. Spring stiffness equals (1509N/m and mass equals (16.5 kg. Determine: The undamped natural frequency; The damped natural frequency; The logarithmic decrement; The damping ratio; and The coefficient of damping.
An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types of attenuation are given to the system to provide a damping factor (y) of 0.1, 0.5 and 1 s^-1. (a) For each damping factor value, determine the omega value of the oscillator!. (b) determine the displacement at time t = 2 seconds for the damping factor y = 0.5 , if the displacement at t = O is 30 mm and v = 1.5 m/s
A machine is represented as a single degree of freedom spring-mass-damper system. The machine has a total mass of (100 +9) kg, an out-of-balance mass 0.125 kg, eccentricity of 0.01 m, coefficient of damping (100 +9) N/ (m/sec), and spring stiffness (1000 + 9) N/m. The rotational speed of the machine is 3000 rpm. Determine the maximum amplitude of vibration due to out-of-balance. Suggest a method for the control of vibration caused due to out-of-balance.
Q2/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the springs can be combined to give an equivalent spring of stiffness 5.4 N/mm. If the vibrating system has a dishpot attached which exerts a force of 40 N when the mass has a velocity of 1 m/s, find (1) critical damping coefficient, (2) damping factor, (3) logarithmic decrement, and (4) ratio of two consecutive amplitudes.
Q1. A single Degree of freedom vibration system has spring stiffness of 7613.3 N/m, mass of 52 kg and critical damping of 1.26x10^3 N.s/m. If the initial velocity for the system is 2 m/s. Determine the displacement and velocity for the system after 2 second.
A machine weighing 300lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.75in. The dampers are designed to reduce the amplitudeof vertical vibration to one-sixthof the initial amplitude after two complete cycles of free vibration. Find the following undamped natural frequency,damping ratio, and damped natural frequencyofthesystem.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS