A 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 ₁ of magnitude 208 N, and Charles pulls with force Fc of magnitude 176 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? с 142° Alex (a) Number Charles Betty 284.74 (b) Number i 43.06 Units Units N N

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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 FA of magnitude 208 N, and Charles pulls with force Fc of
magnitude 176 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?
142°
Alex
Charles
(b) Number
Betty
(a) Number 284.74
43.06
Units N
Units
N
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 FA of magnitude 208 N, and Charles pulls with force Fc of magnitude 176 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? 142° Alex Charles (b) Number Betty (a) Number 284.74 43.06 Units N Units N
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