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# Resultant Force

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Three horses exert forces on a hitching pole. What is the resultant force on the pole, if horse A exerts a force of 350 N at an angle of 48 degrees N of East, horse B exerts a force of 560 N at an angle of 37 degrees N of West, and horse C exerts a force of 200 N at an angle of 87 degrees N of East?

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The solution calculates Resultant Force.

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Let East direction be the positive x axis and North the positive y axis

Component is the horizontal (x) direction = (Magnitude) x (Cos phi )
Component is the vertical (y) direction = (Magnitude) x (Sin phi )

a) HORSE A EXERTS A FORCE OF 350 N AT AN ANGLE OF 48 DEGREES N OF EAST

Magnitude = 350 N
phi = 48 degrees
x ...

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