Engineering Mechanics Statics - Intructor Solutions manual 2.43 - 243 Determine the magnitude and orientation measured y counterclockwise from the

Engineering Mechanics Statics - Intructor Solutions manual 2.43

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Unformatted text preview: 2—43. Determine the magnitude and orientation, measured y counterclockwise from the positive y axis, of the resultant force acting on the bracket, if FB = 600 N and 0 = 20°. SOLUTION Scalar Notation: Summing the force components algebraically, we have i>FRx = EFX; FRx = 700 sin30° — 600 cos 20° = —213.8 N = 213.8 N <— +TFRy = EFy; FRy = 700 cos 30° + 600 sin 20° = 811.4 N T The magnitude of the resultant force FR is FR = \/F§;X + Ffiy = \/213.82 + 811.42 = 839N Ans. The direction angle 0 measured counterclockwise from the positive y axis is ll:12 213 8 — -1—" _— ‘1 —' = 14. ° . 0 tan FR, tan < 811.4 8 Ans ...
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