When the block of mass \(10 \mathrm{~kg}\) is given a displacement of \(3 \mathrm{~mm}\) in the system of Figure SP7.38 and all other blocks are held in their equilibrium positions, it is found that the forces on the blocks are \(F_{1}=0, F_{2}=100 \mathrm{~N}\), and \(F_{3}=300 \mathrm{~N}\). Determine all possible elements of the system's stiffness matrix.

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FIGURE SP7.38 20 kg x1 X2 100 N 30 kg 10 kg 0 X3 3 mm 300 N