GATE_AE_2027_MOCK_05_Q34 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) MCQ · 1 Mark
Aerospace Structures • Structural Dynamics & Aeroelasticity • Single & Multi-DOF Vibration Systems

The critical damping coefficient c_c of a spring-mass-damper system with mass m and stiffness k is given by:

(A) c_c = 2 \sqrt{k m}
(B) c_c = \sqrt{k m} / 2
(C) c_c = 2 k / m
(D) c_c = 4 k m
Answer Key:
A

Step-by-Step Verified Solution

### Solution: Critical damping is defined as c_c = 2 m \omega_n = 2 m \sqrt{k/m} = 2 \sqrt{k m}. Correct: A.
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