Consider the mechanical system with three degrees of freedom shown below. The po

Question

Consider the mechanical system with three degrees of freedom shown below. The positions of the particles are measured from their equilibrium positions. The system has a normal mode eigenvector (19.9, b, 19.9)T. If all particles start from their equilibrium positions and the leftmost and rightmost particles are given a velocity of 20.94 ms-1, the velocity of the middle particle is -17.75 ms-1, the system will oscillate in a normal mode. Determine the value of b, giving your answer to 3 decimal places.

Explanation / Answer

velocities and eigen vectors have same ratio.. so 19.9/20.94 = b/(-17.75) b = -16.868

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