Resultant Force Vector Calculator

Resultant Force Vector Calculator

Calculate the resultant force vector using the parallelogram law of forces.
Enter the magnitudes of two forces \( F_1 \) and \( F_2 \) and the angle \( \theta \) between them.

* All values should be in SI units (Newtons for forces and degrees for the angle).

Step 1: Enter Parameters

Example: 10 N

Example: 15 N

Example: 60°

Derived Formulas:
Resultant Force: \( R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos\theta} \)
Angle relative to \( F_1 \): \( \alpha = \arctan\left(\frac{F_2\sin\theta}{F_1+F_2\cos\theta}\right) \)


Example:
For \( F_1 = 10\,\text{N} \), \( F_2 = 15\,\text{N} \), and \( \theta = 60^\circ \), the calculator computes the resultant force and its direction relative to \( F_1 \).