Q2) a vibratory system with viscous damping: Mass = 2.5 kg; springconstant k = 3 N/mm and the amplitude X decreases to 0.25 of theinitial value after five consecutive cycles. Determine the dampingcoefficient of the damper in the system.Marinwwwdampermass171

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Answered: Q2) a vibratory system with viscous…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A0.80 kg mass is attached to a light spring with a force constant of 42.9 Nim and set into oscillation on a horizontal frictionless surface. (Hintl: The angular frequency, s of an ideal mass-spring system is given by w = VK. Where kis the spring constant, and m is the mass value, Hint2: The maximum displacement is the amplitude A. the maximum velocity is u4, and the maximum acceleration is aA.) If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass See if you can find an expression which relates the maximum speed of the oscillating mass to known values, m/s (b) speed of the oscillting mass when the spring is compressed 1.5 cm from the equilibrium position Is energy conserved for this oscillating system? mis () speed of the oscillating mass when the spring is stretched 1.5 cm from the equilibrium position When the mass-spring system is oscilating, how does the speed of the oscillating mass when the spring is…
a damper, the frequency of oscillation is found to the stiffness of the spring is 1 kN/m. By introducing coefficient of the damper? be 90% of the original value. What is the damping In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing be 90% of the original value. What is the damping (a) 1.2 Ns/m (b) 3.4 Ns/m (c) 8.7 Ns/m (d) 12.0 Ns/m
A spring mass system with a natural frequency fn = 20 Hz is attached to a vibration table. Thetable is set to vibrate at 16 Hz, with a maximum acceleration 0.25 g. Answer the followingquestions. Justify your answers d. What is the maximum acceleration of the mass assuming the packaging can be modeled asa viscous damper with a damping ratio of 0.2?e. Is the motion of the mass in phase or out of phase with the motion of the table?
Shock absorber. What is the smallest value of the damping constant of a shock absorber in the suspen- sion of a wheel of a car (consisting of a spring and an absorber) that will provide (theoretically) an oscillation- free ride if the mass of the car is 2000 kg and the spring constant equals 4500 kg/sec²?
An electric motor of mass 25 kg is supported on a three-spring system. Thesprings are arranged in parallel, with the three stiffnesses being 10 kN/m,5 kN/m and 25 kN/m respectively. Viscous damping is present within the systemand has a magnitude of 0.4 kNs/m.i) Produce a sketch of the system and state its equation of motion.ii) Determine the damping ratio and comment on its value.iii) Determine the amplitude of vibration of the motor 5 cycles afterit is released from an initial displacement of 15 mm.
A pump of mass 30 kg is supported on a support structure which has 4 springsarranged in parallel with stiffness values of 10 kN/m, 15 kN/m, 8 kN/m and12 kN/m respectively. Viscous damping is present within the system and 1 kNs/mis applied by a damper.i) Produce a neat sketch of the system and state its equation of motion.ii) Determine the damping ratio for the system, commenting on its value. iii) Determine the damped frequency of vibration.iv) Determine the logarithmic decrement for the vibrating system.
1) For the mass-damper system at right, the model in terms of velocity is mv + cv = f. The time constant of this first order system is t = m/c. For this system, a larger value of the damping constant c causes the time constant to decrease - which is counterintuitive. It seems that a small amount of damping should correspond to a system with a fast response. How can you reconcile this? m CA
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.
Q1) A vibratory system with viscous damping: Mass = 1 kg; spring constant k = 25 N/m. The mass is given an initial velocity of vo= 20 m/s from rest position. Find the equation of motion and the displacement of the mass after two second if the damping coefficient is 20 N/m/s, +
What is the true option
(note: for this problem do a hand calculation from t = 0 – 5 s , the rest use excel)

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Q2) a vibratory system with viscous damping: Mass = 2.5 kg; spring constant k = 3 N/mm and the amplitude X decreases to 0.25 of the initial value after five consecutive cycles. Determine the damping coefficient of the damper in the system. spring wwww at mas fi Time