Vectors
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Vectors can be defined as magnitude of two opposing forces. For example, if two forces are pulling on one object with a rope, we can figure out what direction it will go to according by the force from both sides and the angles. The problem I calculated has one force pulling with 100 N at 15 degrees and another at 50 N at 27.5 degrees. From here we will try to find the magnitude.
Problem Solving
Fay = 46.17 2. Cos0 = adj/hyp = Fax/100 = .88 Fax = .88 * 100 Fax = 88.7 3. Cos0 = adj/hyp = Fbx/50 = .88 Fbx = .88 * 50 Fbx = 44 4. Sin0 = opp/hyp = Fby/50 = .46 Fby = .46 * 50 Fby = 23 5. Efy = Fay + Fby Efy = 46.17 + 23 Efy = 69.17 Efx = Fax + Fbx Efx = 88.7 + 44 Efx = 132.7 |
Answers
Fay = 46.17 Fby = 23
Fax = 88.7 Efy = 69.17 Fbx = 44 Efx = 132.7 Tan -1 = (69.17 / 132.7) The you do A^2 + B^2 then you sqaure root of that number. Magnitude= 149.645 |