Related Resources: calculators

Components of a Single Force Case 1 Equation and Calculator

Machine Design Applications

Finding Two Concurrent Components of a Single Force Equation and Calculator, Case 1

To find two components F₁ and F₂at angles θ and Φ, Φ not being 90°.

Resultant Load Vector Components:

F₁ = ( F sin θ ) / sin Φ

F₂ = ( F sin ( Φ - θ ) ) / sin θ

Where:

F₁, F₂, F = Force Vector quantity (lbf, N)

Φ, θ = Angle as specified (deg)

The single force which produces the same effect upon a body as two or more forces acting together is called their resultant. The separate forces which can be so combined are called the components. Finding the resultant of two or more forces is called the composition of forces, and finding two or more components of a given force, the resolution of forces. Forces are said to be concurrent when their lines of action can be extended to meet at a common point; forces that are parallel are, of course, nonconcurrent.

Reference:

Machinerys Handbook, 29th Edition