1. What is Force Resolution?

Definition: Force resolution is the process of breaking down a single force vector into its perpendicular components, typically horizontal (F_x) and vertical (F_y).

Purpose: This technique is essential in physics and engineering to analyze forces acting at angles and determine their effects in specific directions.

2. How Does Force Resolution Work?

The calculator uses these trigonometric formulas:

Where:

• \( F \) — Magnitude of the original force (Newtons)
• \( \theta \) — Angle between the force and horizontal axis (degrees)
• \( F_x \) — Horizontal component of the force
• \( F_y \) — Vertical component of the force

Explanation: The cosine function gives the adjacent side (horizontal component) while the sine function gives the opposite side (vertical component) of the right triangle formed by the force vector.

3. Applications of Force Resolution

Details: Used in structural analysis, mechanical engineering, physics problems, and anywhere forces act at angles to the coordinate system.

4. Using the Calculator

Tips: Enter the force magnitude in Newtons and the angle in degrees (0-360). The calculator will compute both horizontal and vertical components.

5. Frequently Asked Questions (FAQ)

Q1: What angle convention is used?
A: The angle is measured from the positive horizontal axis, with counter-clockwise being positive.

Q2: What if my angle is negative?
A: The calculator accepts angles from 0 to 360 degrees. For negative angles, add 360 to convert to positive equivalent.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most engineering applications.

Q4: Can I use different units?
A: The calculator uses Newtons for force, but you can use any consistent unit system as long as you maintain consistency.

Q5: What about 3D force resolution?
A: This calculator handles 2D resolution only. For 3D, you would need additional angles and calculations.