Question

A large ship is being towed by two tugs. The larger tug exerts a force that is 24% greater than the smaller tug and at an angle of 20 degrees north of east. Which direction must the smaller tug pull to ensure that the ship travels due east? Round your answer to the nearest tenth of a degree (e.g. "smaller tug should pull in a direction of 12.3 degrees south of west" ).

Answer 1

E be Let R be the resultant force, and let F and the Forces Exerted by the larger and smaller tugs. Then 11 Fill = 1.2011 Fall The y Components of the vectors Fi and F must Each other to ensure that the ship travels due hence, cancel east Il Fill sin 20°= 11 F Il sind So 1. 2011 Fall sin 20 = 11 Full sin o, giving, O = Sin (1.20 sin 20) o = sin (1.20x 0,342) O= sin(0.4104) 10 = 24.24299 It should pull at an angle of south, rast degree