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A mobile tower is held in place to the ground using three steel cables (see Figure 5.2). The forces acting along the cables DA, DB and DC are shown as arrows in the figure. |FDC| = 820N, FDA| = 410N (i) If one of the cables DB snaps during a storm, show that the moment of the resultant force about O is M = (11160, -14880, 0)N m. [5 marks] (ii) Find the force FDB along the replaced cable DB which would produce the smallest value of the resultant moment about O and keep the tower stable. Assume the value of x = 24 m [5 marks] (iii) Find the equation of the plane passing through ADC. [2 marks]
12m 24m 820N 410N 31m 12m Z B 4m 6 m y
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