answer quickly Determine the:a) Critical damping coefficient cr,b) Damping coefficient c if the amplitude of the resulting vibration is decreased to 60% over three vibrations M-2.5 kg, a=40mm, 100 mm;c) If the ratio of amplitudes of oscillation is X1/X6= 1/.25 determine the damping factor.The vibrating system shown in the figure below consists of a mass of 5 kg, spring of stiffness 3000N/m and a dampingcoefficient c. If the system vibrates left and right with small oscillations,Rigid le er

Answered: Image /qna-images/answer/b13db77b-8b7a-4685-a83a-46847cc8d58c.jpg

Answered: Determine the: a) Critical damping…

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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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
mass-spring-damper system with one degree of freedom is exposed to vibration under the influence of a harmonic force. In my system, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is Fo=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. a)a-)Calculate the damping ratio of the system b)Calculate the magnification factor (M) of the system C)Calculate the maximum vibration amplitude (X) (meters
The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0 is measured to be 2 rad and the frequency is found to be 5 Hz. Determine the initial displacement
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 (1500 + 007) N/m and mass equals (7.5 + 007) kg. Determine: The undamped natural frequency; The damped natural frequency; The logarithmic decrement; The damping ratio; and The coefficient of damping.
The spring constant of one car's spring is 24 kN / m and one tire has a mass of 370 kg. The relative damping factor is 0.35. The unevenness of the road causes a force on the wheel at a frequency of 0.74 Hz and the amplitude describing the unevenness of the road is 22 mm. What is the vibration amplitude of the car body in whole millimeters? For damping vibration
A350 N electronic instrument is attached to a ship deck which vibrates at an amplitude of 1.60 mm at 50 Hz. The instrument is to be isolated from the deck with 4 flexible mounts. Determine combined spring constant of mounts such that the amplitude of vibration of the instrument is no more than 0.13 mm. If the springs are equal wirat is spring constant of each mount. What is static diflection of each mount?
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 (1500 + 21) N/m and mass equals (7.5 + 21) kg. Determine: • The undamped natural frequency; • The damped natural frequency; • The logarithmic decrement; • The damping ratio; and • The coefficient of damping.
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 have a dashpot 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.
The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0 is measured to be 2 rad and the frequency is found to be 5 rad/s. Determine the initial displacement. * 3.6 mm/s - 2.1 mm/s - 7.4 mm/s 6.1 mm/s
What is Logarithmic Decrement in damped vibration? A heavy machine, weighing 3000 N, is supported on a resilient foundation. The static deflection of the foundation due to the weight of the machine is found to be 7.5 cm. It is observed that the machine vibrates with an amplitude of 1 cm when the base of the foundation is subjected to harmonic oscillation at the undamped natural frequency of the system with an amplitude of 0.25 cm. Find a. the damping constant of the foundation, b. the dynamic force amplitude on the base, and c. the amplitude of the displacement of the machine relative to the base.
A heavy machine, weighing 3000 N, is supported on a resilient foundation. The static deflection of the foundation due to the weight of the machine is found to be 7.5 cm. It is observed that the machine vibrates with an amplitude of 1 cm when the base of the foundation is subjected to harmonic oscillation at the undamped natural frequency of the system with an amplitude of 0.25 cm. Find a. the damping constant of the foundation, b. the dynamic force amplitude on the base, and c. the amplitude of the displacement of the machine relative to the base.
The block (mass not given) is subjected to the force F = (910 sin(5.3t)) N, where t is in seconds. The spring constant (of each of the springs) is k = 347 N/m. The damping ratio is c/cc = 0.69. If the natural frequency of vibrations is fn = 1.02 Hz, what is the amplitude (in meters) of the steady-state vibrations? Choose the correct answer: a) There is not enough information to solve b) 910.000 c) 1.107 d) 2.215 e) 0.049

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