Question

An oil rig in the Gulf is held steady at its designated drilling location by three tugboats (see figure). Tugboat A pulls with 54330 N straight in the easterly direction. Tugboat B pulls at an angle of 45 degree north of west. Tugboat C pulls 42 degree west of south. Draw a proper free-body diagram. Find the magnitude of the tension of the ropes attached to tugboats B and C. (Show your work step by step. Always use units with numbers. Always show the equation before substituting numbers. Just the right answer will not give full credit.) Below answer with the tension in rope B.

Answer 1

Tb sin45 Tb cos45 45 sin42 420 Te cos42 From the diagram T^ sin 45 - T cos 42 T1.05T T T, cos45+T sin 42 b1.34 40298.5 N T 38379.5N