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Theory of Machines Miscellaneous

  1. A single degree of freedom system has a mass of 2 kg, stiffness 8 N/m and viscous damping ratio 0.02. The dynamic magnification factor at an excitation frequency of 1.5 rad/s is ______
    1. 2
    2. 3.42
    3. 2.28
    4. 3
Correct Option: C


ω = 1.5 rad/s

ωn = √
k
= √
8
= 2 rad/s
m2

ξ = 0.02
MF =
1
[1 - (0.75)²]² + (2 × 0.02 × 0.75)²

∴ M.F. = 2.28



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