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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.
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- 22 mm
- 20 mm
- 21 mm
- 24 mm
Correct Option: B
k = 10 kN/m
F0 = 100 N
ξ = 0.25
= 1 at resonance | |
ωn |
X = | = | = 20 mm | ||
kξ | 2 × 100 × .25 × 10³ |