GATE ME 2024 Set 1 — Question 25
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Theory of Machines & Vibrations → Free Vibration → Damped Free Vibration
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Question
A linear spring-mass-dashpot system with a mass of 2 kg is set in motion with viscous damping. If the natural frequency is 15 Hz, and the amplitudes of two successive cycles measured are 7.75 mm and 7.20 mm, the coefficient of viscous damping (in N.s/m) is
Correct answer
(A) 4.41
Solution
Given:
Mass kg
Natural frequency Hz
Amplitudes mm, mmStep 1: Calculate the logarithmic decrement .Step 2: Calculate the damping ratio .Step 3: Calculate the natural circular frequency .Step 4: Calculate the coefficient of viscous damping .Thus, the correct option is (A).
Mass kg
Natural frequency Hz
Amplitudes mm, mmStep 1: Calculate the logarithmic decrement .Step 2: Calculate the damping ratio .Step 3: Calculate the natural circular frequency .Step 4: Calculate the coefficient of viscous damping .Thus, the correct option is (A).
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