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Theory of Machines Miscellaneous

  1. In a spring-mass system, the mass is m and the spring constant is k. The critical damping coefficient of the system is 0.1 kg/s. In another spring-mass system, the mass is 2m and the spring constant is 8k. The critical damping coefficient (in kg/s) of this system is ______.
    1. 2 kg/s
    2. 0.4 kg/s
    3. 2.4 kg/s
    4. 1.9 kg/s
Correct Option: B

x =
C
2√mk

⇒ C = 2ξ√mk
C2
=
2m2k2
C11m1k1

C2
= √16
0.1

C2 = 0.4 kg/s



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