**Problem 2.173: Coulomb Damping**A mass of 20 kg is suspended from a spring of stiffness 10,000 N/m. The vertical motion of the mass is subjected to Coulomb friction of magnitude 50 N. If the spring is initially displaced downward by 5 cm from its static equilibrium position, determine:(a) the number of half cycles elapsed before the mass comes to rest, (b) the time elapsed before the mass comes to rest, and (c) the final extension of the spring.

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Answered: Problem 2.173: Coulomb Damping A mass…

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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is 640 N is the correct answer ???????????? please double check for me the correct answer !!
3. A block with a mass of 12 kilograms is attached to a horizontal spring with a spring constant of 100 newtons per meter. Initially the block is held at rest in place so that the spring is stretched 0.1 meters past its equilibrium point (we will use the stretched direction as the positive direction for the position). For the first 2 seconds, an external force of 4 newtons in the stretched direction is applied before the external force is shut off. (a) external force, find the value of the drag coefficient (you do not need to worry about units). Assuming that the oscillation would be in the critical damping case if there was no (Ъ) block in meters at time t seconds. DO NOT SOLVE THE INITIAL-VALUE PROBLEM! Give the initial-value problem modeling this scenario where r(t) is the position of the
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.
A spring with a Hooke's law constant of 45 N/m an an unstretched length of 18 cm is hung vertically from a support. A block is attached to the free end of the spring and let go from rest; the lowest point reached by the mass is 30 cm from the support attachment. Determine (a) the amplitude of vibration; (b) the mass of the block, (c) the period and frequency of vibration; and (d) the maximum speed of the block while vibrating.
A vibratory system consists of a mass 12.5 kg, a spring of stiffness 1000 N/m, and a dashpot with damping coefficient of 15 Ns/m. The value of critical damping of the system is (a) 0.223 Ns/m (b) 17.88 Ns/m (c) 71.4 Ns/m (d) 223.6 Ns/m
(b) Consider a damped harmonic oscillator for which m is 0.05 kg and k is 5.0 N/m. State and sketch the nature of the nature of the oscillatory motion when the damping constant b is (i) 0.1 N – s/m, (ii) 1.0 N – s/m and (iii) 5 N – s/m.
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 + 01) N/m and mass equals (7.5 + 01) kg. Determine: The undamped natural frequency; The damped natural frequency; The logarithmic decrement; The damping ratio; and The coefficient of damping.
A (2 kg) mass attached to a linear elastic spring of stiffness (k = 200 N/m) is released from rest when the spring is stretched (10 cm). If the coefficients of static and kinetic friction between the mass and the surface that moves on are (µs = uk = 0.1), determine the damping constant. m Fig (3)
4.23. A vibrometer has a natural frequency of 5.5 Hz and a damping factor g of 0.6. This instrument is used to measure the displacement of a machine vibrating at 4 Hz. It was assumed that the amplitude measured by the vibrometer is 0.085 m. Determine the exact value of the amplitude of the machine.

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