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 137°). The tire remains stationary in spite of the three pulls. Alex pulls with force F→A of magnitude 202 N, and Charles pulls with force F→C of magnitude 179 N. Note that the direction of F→C is not given. What is the magnitude of Betty's force F→B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?

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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 137°). The tire remains stationary in spite of the three pulls. Alex pulls with force F→A of magnitude 202 N, and Charles pulls with force F→C of magnitude 179 N. Note that the direction of F→C is not given. What is the magnitude of Betty's force F→B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?

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 137°). The tire remains stationary in spite of the three pulls.
Alex pulls with force FA of magnitude 202 N, and Charles pulls with force Fc of magnitude 179 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
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 picture (the given angle is 137°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 202 N, and Charles pulls with force Fc of magnitude 179 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 137° Betty
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