New CH 4 - 100% + Question 9 A flagpole is held in the vertical position by horizontal cables attached to three nearby structures. Figure 2 is a sketch of the situation as seen from above. The sketch is not to scale and poorly represents dimensions and angles. T, hs Figure 2 Top-down sketch of a flagpole (shown as a square) held in position by three cables (arrows) attached to three structures (hatched areas). (a) Write the vector equation that relates T1, T2 and T3- f11 F12 fg flo prt scr 16 f7 f8 insert & O 7 8 gmcor cumbira - Google X| iCME81 - Remote Exam X Microsoft Word - T194-2 > + 6b574661d2534fe0374589?response-content-disposition=inline%3Bfilename%3D"... D New Chrome 100% + Figure 2 Top-down sketch of a flagpole (shown as a square) held in position by three cables (arrows) attached to three structures (hatched areas). (a) Write the vector equation that relates T1, T2 and T3- (2 marks) (b) Express the tension forces T2 and T3 in component form. (6 marks) (c) By resolving the forces along the i and j directions, find two equations involving the magnitudes of the tension forces, T1, T2 and 73, on the cables. (4 marks) (d) Express the equations found in part (c) in matrix form. (4 marks) (e) Find an expression for the inverse of the 2 x 2 matrix from part (d) and use this to form an expression for the magnitudes of the tension forces T2 and T3 (8 marks) (f) Given that 71 = 25 kN, 02 = 350 and 03 = 45, calculate the magnitudes of the tension forces T2 and T3 to two significant figures. (6 marks) T104 JUNE 2025 A W ho ort ser insert