An oil rig in the Gulf is held steady at its designated drilling location by thr
ID: 2273224 • 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 54000 N straight in the easterly direction. Tugboat B pulls at an angle of 29 degree north of west. Tugboat C pulls 41 degree west of south.Answer with the tension in rope B.
Explanation / Answer
Tb * cos 29 + Tc* sin 41 = 54000
Tb * sin 29 = Tc * cos 41
Tb = 1.556 Tc
so Tc*(1.556* cos 29 + sin 41) = 54000
Tc = 26764.59 N
Tb = 41664.437 N ....(this is the ans)