need a quick help please with static A tugboat tows a ship at a constant velocit

Question

need a quick help please with static

A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point A that splits at point B and attaches to the ship at points C and D. The two rope segments BC and BD angle away from the center of the ship at angles of Phi = 31.0 degree and theta = 21.0 degree, respectively. The tugboat pulls with a force of 3050 lb . What are the tensions TBC and TBD in the rope segments BC and BD ? Express your answers numerically in pounds to three significant figures separated by a comma.

Explanation / Answer

Tbc*sin(31) = Tbd*sin(21) 3050 lbs = Tbc*cos(31) + Tbd*cos(21) = Tbc(cos(21) + sin(31)*cot(21)) Tbc = 1340.5 lbs Tbd = 1340.5*sin(31)/sin(21) = 1926.5 lbs

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