GATE ME 2016 Set 2 — Question 20
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Theory of Machines & Vibrations → Free Vibration → Damped Free Vibration
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Question
A single degree of freedom mass-spring-viscous damper system with mass , spring constant and viscous damping coefficient is critically damped. The correct relation among , , and is
Correct answer
(B) q = 2√(km)
Solution
For a single degree of freedom system, the critical damping coefficient is defined as . A system is said to be critically damped when its actual damping coefficient is equal to the critical damping coefficient . Therefore, the correct relation is .
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