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The damping ratio of a single degree of freedom spring-mass-damper system with mass of 1 kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is _______
Correct answer is between '1.24,1.26'. Can you explain this answer?
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Calculation of Damping Ratio:
The damping ratio of a single degree of freedom spring-mass-damper system is given by the formula:
ζ = c / 2√m*k
where ζ is the damping ratio, c is the viscous damping coefficient, m is the mass of the system, and k is the spring constant.
Substituting the given values, we get:
ζ = 25 / (2*√1*100) = 1.25
Therefore, the damping ratio of the system is 1.25.
Explanation:
The damping ratio is a measure of the system's ability to dissipate energy. It determines how quickly the system will return to its equilibrium position after being disturbed. A higher damping ratio means that the system will return to equilibrium more quickly, but it will also experience more resistance to motion.
In this case, the damping ratio is 1.25, which indicates that the system is moderately damped. It will return to equilibrium relatively quickly, but it will also experience some resistance to motion.
Conclusion:
In conclusion, the damping ratio of a single degree of freedom spring-mass-damper system with mass of 1kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is 1.25.
The damping ratio of a single degree of freedom spring-mass-damper system is given by the formula:
ζ = c / 2√m*k
where ζ is the damping ratio, c is the viscous damping coefficient, m is the mass of the system, and k is the spring constant.
Substituting the given values, we get:
ζ = 25 / (2*√1*100) = 1.25
Therefore, the damping ratio of the system is 1.25.
Explanation:
The damping ratio is a measure of the system's ability to dissipate energy. It determines how quickly the system will return to its equilibrium position after being disturbed. A higher damping ratio means that the system will return to equilibrium more quickly, but it will also experience more resistance to motion.
In this case, the damping ratio is 1.25, which indicates that the system is moderately damped. It will return to equilibrium relatively quickly, but it will also experience some resistance to motion.
Conclusion:
In conclusion, the damping ratio of a single degree of freedom spring-mass-damper system with mass of 1kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is 1.25.
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The damping ratio of a single degree of freedom spring-mass-damper system with mass of 1kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is _______Correct answer is between '1.24,1.26'. Can you explain this answer?
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