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Problem 1 788 N 32 985 N 53 411 N Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vec- tors shown in the figure. Find the x and y com- ponents of each of the three pulls. Sum them to determine the components of the resultant force. Then, find the magnitude and direction (as mea- sured counterclockwise from the +x-axes) of the resultant force.

Problem 1 788 N 32 985 N 53 411 N Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vec- tors shown in the figure. Find the x and y com- ponents of each of the three pulls. Sum them to determine the components of the resultant force. Then, find the magnitude and direction (as mea- sured counterclockwise from the +x-axes) of the resultant force.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 1 788 N 32 985 N 53 411 N Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vec- tors shown in the figure. Find the x and y com- ponents of each of the three pulls. Sum them to determine the components of the resultant force. Then, find the magnitude and direction (as mea- sured counterclockwise from the +x-axes) of the resultant force.
Transcribed Image Text:Problem 1 788 N 32 985 N 53 411 N Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vec- tors shown in the figure. Find the x and y com- ponents of each of the three pulls. Sum them to determine the components of the resultant force. Then, find the magnitude and direction (as mea- sured counterclockwise from the +x-axes) of the resultant force.
Expert Solution
Step 1

The x and y components of each pulling using the given figure,

F1x=F1 cosθ1=985 N cos31°=844.31 N

F1y=F1 sinθ=985 N sin31°=507 N

 

F2x=F2 cos90°+θ2=788 N cos90°+32°=-417.58 N

F2y=F2 sin90°+θ2=788 N sin90°+32°=668.26 N

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