In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the overhead view of the figure. The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 213 N, and Charles pulls with force of magnitude 161 N. Note that the direction of Charles' force is not given. What is the magnitude of Betty's force?

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Chapter2: Vectors
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Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...
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In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the overhead view of the figure. The tire remains
stationary in spite of the three pulls. Alex pulls with force of magnitude 213 N, and Charles pulls with force of magnitude 161 N. Note that the direction of Charles' force is
not given. What is the magnitude of Betty's force?
N
Alex
Charles
137°
Betty
Transcribed Image Text:In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the overhead view of the figure. The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 213 N, and Charles pulls with force of magnitude 161 N. Note that the direction of Charles' force is not given. What is the magnitude of Betty's force? N Alex Charles 137° Betty
Expert Solution
Step 1

Given data:

  • The magnitude of force pulled by Alex is 213 N
  • The magnitude of force pulled by Charles is 161 N

The following figure shows the free-body diagram:

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