GATE ME 2014 Set 3 — Question 43
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Theory of Machines & Vibrations → Free Vibration → Damped Free Vibration
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Question
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
1.24 to 1.26
Solution
1.The damping ratio () for a single degree of freedom spring-mass-damper system is given by the formula:
where:- is the viscous damping coefficient
- is the spring stiffness
- is the mass
- kg
- N/m
- N.s/m
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