problem04_05

University Physics with Modern Physics with Mastering Physics (11th Edition)

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4.5: Of the many ways to do this problem, two are presented here. Geometric: From the law of cosines, the magnitude of the resultant is . N 494 60 cos ) N 300 )( N 270 ( 2 ) N 300 ( ) N 270 ( 2 2 = ° + + = R The angle between the resultant and dog A ’s rope (the angle opposite the side corresponding to the 250-N force in a vector diagram) is then ( 29 . 7 . 31 N 494 ) N 300 ( 120 sin arcsin ° =
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Unformatted text preview: ° Components: Taking the x +-direction to be along dog A ’s rope, the components of the resultant are N 420 60 cos ) N 300 ( ) N 270 ( = ° + = x R , N 8 . 259 60 sin ) N 300 ( = ° = y R so ( 29 . 7 . 31 arctan , N 494 ) N 8 . 259 ( ) N 420 ( 420 8 . 259 2 2 ° = = = + = θ R...
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  • Trigonometry, resultant, vector diagram, N. The angle, 250-N force

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