Enhanced EOC: Exercise 4.5 Two dogs pull horizontally on ropes attached to a pos

Question

Enhanced EOC: Exercise 4.5 Two dogs pull horizontally on ropes attached to a post, the angle between the ropes is 63.0 Dog A exerts a force of 264 N and dog B exerts a force of 324 N You may want to review (DA page 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 Submit Hints My Answers Give Up Review Part Part B Find the angle the resultant force makes with the rope of dog A. Submit Hints My Answers Give Up Review Part

Explanation / Answer

Refer above figure,

A) Using Newton’s law along X axis,

Fnetx=F1x+F2x=F1cos0+F2cos63=264cos0+324cos63 = 411.1 N

Using Newton’s law along X axis,

Fnety=F1y+F2y=F1sin0+F2sin63=264sin0+324sin63 = 288.7 N

Fnet= sqrt(Fnetx^2+Fnety^2) = sqrt(411.1^2+288.7^2)= 502.3 N

B) q= tan^-1(Fnety/Fnetx) = tan^-1(288.7/411.1) = 35.08 deg

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