Math Problem Statement

  1. 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)