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An oil rig in the Gulf is held steady at its designated drilling location by thr

ID: 1282049 • 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 58000 N straight in the easterly direction. Tugboat B pulls at an angle of 34 degree north of west. Tugboat C pulls 29 degree west of south. Answer with the tension of rope B.

Also the picture with the problem is attatched.

An oil rig in the Gulf is held steady at its designated drilling location by three tugboats (see figure). Tugboat A pulls with 58000 N straight in the easterly direction. Tugboat B pulls at an angle of 34 degree north of west. Tugboat C pulls 29 degree west of south. Answer with the tension of rope B. Also the picture with the problem is attatched.

Explanation / Answer

along vertically


Tb*sin34 = Tc*cos29

Tb = 1.56 Tc


along horizantally


Ta = Tb*cos34 + Tc*sin29


58000 = Tc*1.56*cos34 + Tc*sin29


58000 = 1.78 Tc

Tc = 32584.26 N


Tb = 50831.46 N