In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on a
ID: 1281206 • Letter: I
Question
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 of magnitude 214 N, and Charles pulls with force of magnitude 185 N. Note that the direction of is not given. What is the magnitude of Betty's force 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 tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 214 N, and Charles pulls with force of magnitude 185 N. Note that the direction of is not given. What is the magnitude of Betty's force if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? I got part (a) 348 N but I dont know how to solve part (b). My angle is 159 degrees NOT 137.Explanation / Answer
a) I don't get 291 N. The horizontal forces must balance:
207N * sin43
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