Math Problem Statement
Force F acts on the frame such that its component acting along member AB is 660lb ,directed from B towards A and the component acting along member BC is 540 lb directed from B towards C (Figure 1) Determine the magnitude of F . Set φ = 60°. Express your answer to two significant figures and include the appropriate units. F = 950lb Previous Answers Part B Determine the direction θ of force F Express your answer to two significant figures and include the appropriate units. θ= (can you show how these answers were calculated step by step) Thank you. Please get the exact answers.
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Resolution
Trigonometry
Formulas
Magnitude of Force: F = √(F_A^2 + F_B^2)
Direction of Force: θ = tan⁻¹(F_B / F_A)
Theorems
Pythagorean Theorem
Suitable Grade Level
Undergraduate (Engineering Mechanics)
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