Math Problem Statement
- The rectangular components of a force are Fy = +1.3 kN and Fx = +103 N. Calculate the magnitude, inclination with the horizontal axis, and the sense of the resultant force F. Sketch the components forces and the resultant force (realistically) on an XY axis.
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Addition
Trigonometry
Physics (Force Vectors)
Formulas
Magnitude of resultant force: F = √(Fx² + Fy²)
Angle of inclination: θ = tan⁻¹(Fy/Fx)
Theorems
Pythagorean theorem (for magnitude calculation)
Tangent function for angle calculation
Suitable Grade Level
Grades 10-12 (Physics/Trigonometry)
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