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A mass-spring-dashpot system with mass m = 10 kg, spring constant k = 6250 N/m is excited by a harmonic excitation of 10 cos(25t) N. At the steady state, the vibration amplitude of the mass is 40 mm. The damping coefficient (c, in Ns/m) of the dashpot is __________.
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- 10Ns/m
- 9Ns/m
- 7Ns/m
- 8Ns/m
Correct Option: A
| X = | = 40 mm = 0.04 | |
| √(k - mω²)² + (Cω)² |
F = 10 N
ω = 25
| ⇒ 0.04 = | ||
| √(6250 - 10 × 25²)² + (C × 25)² |
C = 10Ns/m
