# natural frequencies corresponding | My Assignment Tutor

Question 2.The 5 mode shapes of the 5-degree-of-freedom system shown in Figure 2 can be obtained as (with each column representing a mode shape):1°. 354 4th 5. 1.00 1.00 1.00 1.00 1.00 1.73 1.00 0 -1.00 -1.73 2.00 0 -1.00 0 2.00 1.73 -1.00 0 1.00 -1.73 1.00 -1.00 1.00 -1.00 1.00(a) Graphically illustrate selected mode shapes (based on the table below) and identify any nodes.[6 marks](b) Draw the motion of the masses for mode shapes in (a). [6 marks](c) The natural frequencies corresponding to mode shapes 2, 3, and 4 are [12 marks] denoted by wa, us3, and coo, respectively. Which one is largest, and which one is smallest? No calculations are needed. Explain why based on the shape of the modes and the movement of masses.km —2CO, m m FiCrO, ,WWWWW” ‘,raveTotal: [24 marks]kFigure 2Last digit of your student number Selected mode shapes 0, 1, 2, 3 2, 3, 5 4, 5, 6 1, 2, 4 7, 8, 9 1, 3, 5

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