C U Secure l https://edugen. wileyplus.com/edugen/student/mainfr.uni Chapter 01,

Question

C U Secure l https://edugen. wileyplus.com/edugen/student/mainfr.uni Chapter 01, Problem 47 Multiple Concept Example 9 reviews the concepts that play a role in this problem. As an aid in working this problem, consult concept Simulation 1.1. Two forces are applied to a tree stump to pull it out of the ground. Force FAhas a magnitude of 277o newtons (N) and points 44.0 south of east, while force F B has a magnitude of 2450 N and points due south. Using the component method, find the (a) magnitude and (b) direction of the resultant force FA F B that is applied to the stump. Specify the direction as a positive an with gle respect to due east. Units (a) Number javascript showNext0; a g cho reviewed pptx a cho2 reviewed. ppt

Explanation / Answer

here,

Components of forces:

F1x = Fa * Cos44
F1y = - Fa * Sin44

F2x = 0
F2y = - 2450 N

Net force in x direction :
Fx = F1x + F2x
Fx = 2770 * Cos44 + 0
Fx = 1992.571 N

Net force in y direction :
Fy = F2y + F2y
Fy = - 2770*Sin44 + -2450
Fy = -4374.204 N

Part a:
Magnitude of Net force :
F = sqrt(Fx^2 + Fy^2)
F = sqrt( (1992.571)^2 + (-4375.204)^2 )
F = 4807.572 N

Part b:
Direction of net force = arcTan(Fy/Fx)

Direction of net force = arcTan(4375.204/1992.571)

Direction of net force = 65.514 degrees

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