Solved: In a two-dimensional tug-ofwar, Alex, Betty, and

Chapter 5, Problem 6

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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 overhead view of Fig. 5-30. The tire remains stationary in spite of the three pulls. Alex pulls with force \(\vec{F}_{A}\) of magnitude 220 N, and Charles pulls with force \(\vec{F}_{C}\) of magnitude 170 N. Note that the direction of \(\vec{F}_{C}\) is not given. What is the magnitude of Betty’s force \(\vec{F}_{B}\)?

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