A tugboat tows a ship at a constant velocity. The tow harness consists of a sing

Question

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 attached to the D.. The rope segments BC and BD angle away from the center of the ship at angles of phi = 29.0 degree, respectively. The tugboat pulls with a force of 17000 tensions TBC and TBD in the rope segments BC and BD? Express your answers numerically in newtons to three significant figures separated by a comma.

Explanation / Answer

At constant velocity of ship: Tbc cos29 + Tbd cos 24 = 17000 N ; and; Tbc sin29 - Tbd sin 24 = 0 ==> Tbc = Tbd (sin24/sin29) = Tbd (0.839) (0.839)Tbd cos29 + Tbd cos24 = 17000 0.7338Tbd + 0.9135Tbd = 17000 1.6473 Tbd = 17000 Tbd = 10,319.9174 Tbc = Tbd (0.839) = 10,319.9174 (0.839) = 8658.4107

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