An oil rig in the Gulf is held steady at its designated drilling location by thr
ID: 1352796 • Letter: A
Question
An oil rig in the Gulf is held steady at its designated drilling location by three tugboats (see figure). Tugboat A pulls with 52000 N straight in the easterly direction. Tugboat B pulls at an angle of 38 degree north of west. Tugboat C pulls 43 degree west of south. 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.)
Explanation / Answer
it's very simple , we have to balance force in X,Y direction
Let Tb , Tc are tension resp.
E = Tbcos(38) + Tcsin(43) ( X dir)
Tbsin(38) = Tccos(43) ( Y dir. )
Tb*0.615 = Tc*0.731
Tb = 1.18*Tc*0.78 + Tc*0.681
52000 = 1.18*Tc*0.78 + Tc*0.681
=> Tc = 32471 N
=> Tb = 1.18*32471 = 38315.7 N