GATE ME 2015 Set 2 — Question 20
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Theory of Machines & Vibrations → Free Vibration → Damped Free Vibration
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Question
In a spring-mass system, the mass is and the spring constant is . The critical damping coefficient of the system is kg/s. In another spring-mass system, the mass is and the spring constant is . The critical damping coefficient (in kg/s) of this system is ________
Correct answer
0.38 to 0.42
Solution
The critical damping coefficient is given by .
For the first system: kg/s.
For the second system: .
Substituting the value from the first system: kg/s.
For the first system: kg/s.
For the second system: .
Substituting the value from the first system: kg/s.
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