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

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 40 degree north of west. Tugboat C pulls 37 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 40 degree north of west. Tugboat C pulls 37 degree west of south. Answer with the tension of rope B. Also the picture with the problem is attached.

Explanation / Answer

in N-S direction,

Tbsin(b)=Tc*cos(c)

in W-E direction

58000=Tbcos(b)+ Tcsin(c).

Solving both equation,

Tb=46384.428 N.

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