Section 6.3 Please, do 83 in step by step fashion. [ATTACH=full]1818[/ATTACH]
83. let cable between left crane and weight be t1 and cable between right crane and weight be t2 drawing right triangles on both sides of weight, we see that horizontal distance fron the weight left is t1*cos(24.3) =x =>cos(24.3) =x/t1 and horizontal distance (x value) fron the weight righ is t2*cos(44.5)=x =>cos(44.5)=x/t2 note: is not equal to vertical distance (y value) on the left side is t1*sin(24.3)=y=>sin(24.3)=y/t1 vertical distance (y value) on the right side is t2*sin(44.5) =y => sin(44.5) =y/t2 note: vertical distances is not equal to each other but horizontal distances are same, so t1*cos(24.3) =t2*cos(44.5) t1*cos(24.3) -t2*cos(44.5)=0 given the sum of these two forces t1*sin(24.3) +t2*sin(44.5)=20240 so we have system of linear equation to solve: t1*cos(24.3) -t2*cos(44.5)=0 t1*sin(24.3) +t2*sin(44.5)=20240 -------------------------------------------------- solving it we get t1≈15484.094lb , t2≈19785.832b
I sure wish I had your math skills. It must be wonderful to see a problem that you have not seen and know exactly what to do. Knowing the WHY in terms of lecture notes is super important.