A two degree of freedom system as shown in Figure 2 consists of two independent coordinates...

  

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A two degree of freedom system as shown in Figure 2 consists of two independent coordinates x and X2. Two masses and two spring stiffnesses are arranged to move along horizontal direction. a) Sketch the free body diagram for separate masses by considering the X2>X1 b) Produce equation of motion in the matrix form c) Calculate natural frequencies ( and 2. d) Calculate the mode shape of the masses r and r2. WWW k ww 4 k m ww m Given m = 2kg and k=2kN/m Figure 2 A two degree of freedom system as shown in Figure 2 consists of two independent coordinates x and X2. Two masses and two spring stiffnesses are arranged to move along horizontal direction. a) Sketch the free body diagram for separate masses by considering the X2>X1 b) Produce equation of motion in the matrix form c) Calculate natural frequencies ( and 2. d) Calculate the mode shape of the masses r and r2. WWW k ww 4 k m ww m Given m = 2kg and k=2kN/m Figure 2