Asked by Homeworktaker
Two tugs are towing a ship. The smaller tug is 10° off the port bow and the larger tug is 20° off the starboard bow. The larger tug pulls twice as hard as the smaller tug. In what direction will the ship move?
PLEASE USE COSINE LAW ONLY!!!!!
PLEASE USE COSINE LAW ONLY!!!!!
Answers
Answered by
oobleck
If we set the forward direction as the +x axis, then we can consider our two vectors as complex numbers, so the resultant is
2cis(-20°) + cis10° = 2.909 cis -10.1°
so, 10.1° to starboard
2cis(-20°) + cis10° = 2.909 cis -10.1°
so, 10.1° to starboard
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