In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture (the given angle is 138°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 216 N, and Charles pulls with force F c of magnitude 184 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force FB if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 138° Betty

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Chapter2: Vectors
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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 picture (the given angle
is 138°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 216 N, and Charles pulls with force Fc of
magnitude 184 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force Fg if Charles pulls in (a) the direction drawn
in the picture or (b) the other possible direction for equilibrium?
Alex
Charles
138°
Betty
(a) Number
Units
297.73
(b) Number
Units
297.73
Click if you would like to Show Work for this question: Open Show Work
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 picture (the given angle is 138°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 216 N, and Charles pulls with force Fc of magnitude 184 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force Fg if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 138° Betty (a) Number Units 297.73 (b) Number Units 297.73 Click if you would like to Show Work for this question: Open Show Work
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