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The following diagram shows three masses m1, m2, m3 connected by line of springs

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The following diagram shows three masses m1, m2, m3 connected by line of springs. One case has 4 springs with top and bottom fixed (Call it fixed -fixed). The other case has only three springs, the lowest mass hangs freely (call it fixed -free). fixed end 10 = 0 fixed end uo = 0 spring c1 tension y1 spring c1 tension y1 mass m1 movement u 1 mass m 1 movement u C2 y2 spring C2 tension y2 m2 5 mass m2 movement u 2 V3 spring c3 mass m3 om tension y3 movement u 3 V4 V4 = 0 C4 free end fixed end U4= 0 Find the stiffness matrix for fixed-fixed case. . Find the stiffness matrix for fixed-free case.