Mass 15 kg. C=150 Ns/m, k = 200 N/m, a=0.5 m, b=0.75 m Find: 1. Static equilibrium condition 2. Equation of motion of total resultant system 3. Natural frequency and damping ratio 4. Is system underdamped or overdamped? 5. What is equation to find transient response of this system? Just w equation. Do not find coefficients. 6. What is required value of mass m to make this system critically damped? QA O b m B

Mass 15 kg. C=150 Ns/m, k = 200 N/m, a=0.5 m, b=0.75 m Find: 1. Static equilibrium condition 2. Equation of motion of total resultant system 3. Natural frequency and damping ratio 4. Is system underdamped or overdamped? 5. What is equation to find transient response of this system? Just w equation. Do not find coefficients. 6. What is required value of mass m to make this system critically damped? QA O b m B

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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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

Mass 15 kg. C=150 Ns/m, k = 200 N/m, a=0.5m, b = 0.75 m.
Find:
1. Static equilibrium condition
2. Equation of motion of total resultant system
3. Natural frequency and damping ratio
4. Is system underdamped or overdamped?
5. What is equation to find transient response of this system? Just write
equation. Do not find coefficients.
6. What is required value of mass m to make this system critically
damped?
QA
b
m
B
H

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