1. What Is The Resultant Force?

The resultant force is the single force that represents the vector sum of two or more forces acting on an object. It has the same effect as all the individual forces combined.

2. How Does The Calculator Work?

The calculator uses vector addition to find the resultant force:

Where:

• \( \vec{F_1} \) — First force vector with magnitude and direction
• \( \vec{F_2} \) — Second force vector with magnitude and direction
• \( \vec{F_r} \) — Resultant force vector

Explanation: The calculator breaks each force into x and y components, sums the components, then calculates the magnitude and direction of the resultant vector.

3. Importance Of Resultant Force Calculation

Details: Calculating resultant forces is essential in physics and engineering for determining net effects of multiple forces, analyzing equilibrium conditions, and predicting object motion according to Newton's laws.

4. Using The Calculator

Tips: Enter force magnitudes in newtons (N) and angles in degrees (0-360°). All values must be positive. Angles are measured from the positive x-axis.

5. Frequently Asked Questions (FAQ)

Q1: What if forces are in opposite directions?
A: The calculator will correctly compute the vector sum, which may result in a smaller resultant force or even zero if forces are equal and opposite.

Q2: Can I add more than two forces?
A: This calculator is designed for two forces. For more forces, you would need to add them sequentially or use a calculator that supports multiple forces.

Q3: How are angles measured?
A: Angles are measured in degrees from the positive x-axis, counterclockwise. 0° points right, 90° points up, 180° points left, and 270° points down.

Q4: What coordinate system is used?
A: The calculator uses a standard Cartesian coordinate system with x-axis horizontal and y-axis vertical.

Q5: Can this be used for 3D forces?
A: No, this calculator is for 2D forces only. For 3D forces, you would need to account for the z-component as well.