(Solved):   Problem 1. (50\%). The homogeneous bar ABCD shown in Fig. P-114 is supported by a cable th ...

 

Problem 1. (50\%). The homogeneous bar ABCD shown in Fig. P-114 is supported by a cable that runs from \( A \) to \( B \) around the smooth peg at \( E \), a vertical cable at \( C \), and a smooth inclined surface at D. Determine the mass of the heaviest bar that can be supported if the stress in each cable is limited to \( 114 \mathrm{MPa} \). The area of the cable \( \mathrm{AB} \) is \( 264 \mathrm{sq} \cdot \mathrm{mm} \) and that of the cable at \( \mathrm{C} \) is 314 sq. mm.