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 144°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 210 N, and Charles pulls with force Fc of magnitude 189 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force F if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?

University Physics Volume 1
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Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
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 picture (the given
angle is 144°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 210 N, and Charles pulls with force
c of magnitude 189 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
144°
Betty
Units
(a) Number
Units
(b) Number
areinn d-24 20
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 144°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 210 N, and Charles pulls with force c of magnitude 189 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 144° Betty Units (a) Number Units (b) Number areinn d-24 20
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