[Dynamics] Vibration response problem.

  1. 1. The problem statement

    I have this vibration question, in which i have approach to solve and I came very close to the actual answer but not accuracy correct solution.

    My work-out solution is 0< k < 28.7 N/m

    And the correct answer is 0 < k < 27.4 N/m

    I have tried everythink checking the number or around ups etc. But I can not seem to get 27.4 N/m.

    I appreciate people proof-read, and If they could indentity small error in my working-out


    2. Question & my attempt

    the elements of a displacement meter used to study the motion
    yB = bsinωt of the base. The motion of the mass relative to the frame is recorded on the rotating drum. If L1= 360 mm, L2= 480 mm, L3= 600 mm, m = 0.9 kg, c = 1.4 Ns/m and ω = 10 rad/s, Determine the range of the spring constant k over which the magnitude of the recorded relative displacement is less than 1.5b. It is assumed that the ratio ω/ωn must remain greater than unity.

    My approach: See the attach file, since is headache to copy in this forum.

    Appreciate any input, cheers
    Last edited: May 27, 2011
  2. jcsd
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