If the magnitude of the resultant force (of three forces shown) is 550 N and its direction measured clockwise from the positive x axis is 20°, determine the magnitude of F and the angle F₂ = 450 N F₁ F₂ = 500 N

If the magnitude of the resultant force (of three forces shown) is 550 N and its direction measured clockwise from the positive x axis is 20°, determine the magnitude of F and the angle F₂ = 450 N F₁ F₂ = 500 N

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.55P: The force R is the resultant of P and 0. Determine Q and the angle .

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Question

If the magnitude of the resultant force (of three forces shown) is 550 N and its
direction measured clockwise from the positive x axis is 20°, determine the
magnitude of F and the angle
F₂ = 450 N
F₁
F₂ = 500 N

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Step 2: Consider the freebody diagram

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Step 3: Write the force equilibrium

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Step 4: Calculate phi and and force F1

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