1. What is Force Resolution in Physics?

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

Purpose: This technique is essential for analyzing forces acting at angles in mechanics problems, particularly in A-Level Physics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The cosine function determines how much of the original force acts in the horizontal direction.

3. Importance of Force Resolution

Details: Resolving forces is fundamental in physics for analyzing equilibrium, motion on inclined planes, and many other mechanics problems.

4. Using the Calculator

Tips: Enter the force magnitude in Newtons and the angle in degrees (0-90). The calculator will compute the horizontal component.

5. Frequently Asked Questions (FAQ)

Q1: How do I find the vertical component?
A: Use F_y = F sin(θ). The vertical component can be calculated similarly using the sine function.

Q2: What if my angle is greater than 90 degrees?
A: For angles > 90°, the horizontal component becomes negative, indicating opposite direction. Adjust your calculation accordingly.

Q3: Why use cosine for horizontal component?
A: By definition, cosine gives the adjacent/hypotenuse ratio in a right triangle, which corresponds to the horizontal component.

Q4: What are typical applications?
A: Used in analyzing forces on ramps, tension in ropes, projectile motion, and any scenario with angled forces.

Q5: How precise should my angle measurement be?
A: For most physics problems, 1 decimal place is sufficient, though laboratory work may require greater precision.