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Consider the mechanical system with three degrees of freedom. The positions of the particles are measured from their equilibrium positions. The system has a normal mode eigenvector
| b |

If all particles start from their equilibrium positions and the leftmost and rightmost particles are given a velocity of 5.88m/s, the velocity of the middle particle is -40.85m/s, the system wil oscillate in a normal mode.

Determine the value of b.

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