Question

A football player runs the pattern given in the drawing by the three displacement vectors ,...

uploaded imageA football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 5 m, B = 12.0 m, and C = 25.0 m. Using the component method, find the magnitude and direction θ of the resultant vector + + . (Assume that up along the screen is the positive y-axis and that right is the positive x-axis.)


magnitude ? m
degrees ? direction below the positive x-axis

0 0
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Answer #1

x component = 12 + 25 cos 35 = 32.478 N ;
y component = -5 + 25 sin 35 = 9.339 N ;

magnitude = √ ( 9.339^2 + 32.478^2 ) = 33.794 ,

direction = taninverse ( 9.339 / 32.478 ) = 15.448 degree

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