Enhanced EOC: Exercise 4.5 Two dogs pull horizontally on ropes attached to a pos
ID: 1394878 • Letter: E
Question
Enhanced EOC: Exercise 4.5 Two dogs pull horizontally on ropes attached to a post, the angle between the ropes is 61.0 Dog A exerts a force of 286N and dog B exerts a force of 310N You may want to review (DA-pages 105-108) For help with math skills, you may want to review: Vector Magnitudes Determining the Angle of a Vector Vector Addition For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Superposition of forces Part A Find the magnitude of the resultant force AEG Submit Hints My Answers Give Up Review Part Part B Find the angle the resultant force makes with the rope of dog A AEExplanation / Answer
FAx = 286 N FAy = 0
FBx = 310*cos61 = 150.3 N FBy = 310*sin61 = 271.13 N
resultant force
Fx = FAx + FBx = 286+150.3 = 436.3 N
Fy = FAy + FBy = 271.13 N
F = sqrt(Fx^2+Fy^2) = 513.68 N <--------answer
angle = tan^-1(Fy/Fx) = 31.86 degrees <--------answer
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