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A linear spring-mass-dashpot system with a mass of 2kg is set in motion with viscous damping. If the natural frequency is 15Hz, and the amplitudes of two successive cycles measured are 7.75mm and 7.20mm, the coefficient of viscous damping (in N.s/m) is
  • GATE ME - 2024
  • GATE ME
  • Applied Mechanics and Design
  • Vibration isolation
A machine of mass 100 kg is subjected to an external harmonic force with a frequency of 40 rad/s. The designer decides to mount the machine on an isolator to reduce the force transmitted to the foundation. The isolator can be considered as a combination of stiffness (\(K\)) and damper (damping factor, \(\xi\)) in parallel. The designer has the following four isolators:

1) \(K = 640 \, \text{kN/m}, \, \xi = 0.70\)
2) \(K = 640 \, \text{kN/m}, \, \xi = 0.07\)
3) \(K = 22.5 \, \text{kN/m}, \, \xi = 0.70\)
4) \(K = 22.5 \, \text{kN/m}, \, \xi = 0.07\)

Arrange the isolators in the ascending order of the force transmitted to the foundation.
  • GATE ME - 2021
  • GATE ME
  • Applied Mechanics and Design
  • Vibration isolation