Question

Two forces act at a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force. forces of 217 and 145 newtons, forming an angle of 78° The magnitude of the resultant force is newtons. (Round to the nearest newton as needed)

Answer 1

Given that a force of 211N and 145N act at an angle of 78° to each other. let those two forcen be Å III = 217N - 145N By N shi 780 → F = 2 217N We need to findout the magnitude of resultant force. To get the resultant we're to draw a poorallelogram, 217N Nghi f. The opportte sides of a parallelo pom NSHI are canal. 217N Thun is the parallelogram, where Ř in our resultant force so we need to find this Remember that adjacent angles in a parallelogram add up to 180. 217 N NSHI र nghi 180-789 211N So this angle will become 188 -18°= 102°

Now we can write the parallelogram like below: 217N 7 145N por 145N To Nshi re 102° 102 217N a 217 N Now we can apply the cosine law. re. IR V = (017)"+(45)-2 -2 (211) (145) (CON 109°) > IR 1 =12145+245)9–2 (211) (145) (CON 102°) 47089 + 21025 - 2(217) (145) (-0.2079) [CON (102) ==0.2079 - 284.95 1. Magnitude of resultant force - lē! = 284.95 N