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Theory of Machines Miscellaneous

  1. A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of amplitude 100 N. If the damping factor (ratio) is 0.25, the amplitude of steady state oscillation at resonance is _______ mm.
    1. 22 mm
    2. 20 mm
    3. 21 mm
    4. 24 mm
Correct Option: B

k = 10 kN/m
F0 = 100 N
ξ = 0.25

ω
= 1 at resonance
ωn

X =
F0
=
100
= 20 mm
2 × 100 × .25 × 10³



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