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 tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force F c of magnitude 183 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? Alex Charles 145° Betty (a) Number i Units (h) Dlumbor LUnito

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Chapter1: Units, Trigonometry. And 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 tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force
F c of magnitude 183 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?
Alex
Charles
145°
Betty
(a) Number
i
Units
(b) Number
i
Units
>
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 tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force F c of magnitude 183 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? Alex Charles 145° Betty (a) Number i Units (b) Number i Units >
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