Vector

2014-10-17 5:12 am
Two tow trucks are transferring the electrical waste at the refuse transfer station . Tow truck A is pulling with a force of 83N at ∠81 from horizontal while tow truck B is pulling with a force of 656N at a ∠28 from the horizontal .
What is the magnitude and direction of the resultant force .

回答 (1)

2014-10-17 7:25 am
✔ 最佳答案
Total horizontal component = [83.cos(81) + 656cos(28)] N = 592.2 N
Total vertical component = [83.sin(81) + 656.sin(28)] N = 390 N
Hence, magnitude of resultant force = square-root(592.2^2 + 390^2) N
= 709 N

Direction of resultant force = arc-tan(390/592.2) degrees
= 33.37 degress from horizontal


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