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Calculate Force On Inclined Plane

Force on Incline:

\[ f_{\text{parallel}} = m \times g \times \sin(\theta) \]

kg
m/s²
degrees

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1. What is Force on an Inclined Plane?

The force parallel to an inclined plane is the component of the object's weight that acts along the surface of the plane. This force is responsible for the acceleration of objects sliding down the incline.

2. How Does the Calculator Work?

The calculator uses the following equation:

\[ f_{\text{parallel}} = m \times g \times \sin(\theta) \]

Where:

Explanation: The equation calculates the component of gravitational force that acts parallel to the surface of the inclined plane.

3. Importance of Force Calculation

Details: Understanding this force is crucial for solving physics problems involving inclined planes, designing ramps, and analyzing motion on slopes.

4. Using the Calculator

Tips: Enter mass in kilograms, gravitational acceleration (default is Earth's 9.81 m/s²), and the angle of inclination in degrees (0-90°). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the normal force on an inclined plane?
A: The normal force is \( m \times g \times \cos(\theta) \), acting perpendicular to the surface.

Q2: What happens when the angle is 0°?
A: At 0° (flat surface), the parallel force becomes 0 N as there's no incline.

Q3: What happens when the angle is 90°?
A: At 90° (vertical drop), the parallel force equals the full weight of the object (\( m \times g \)).

Q4: Does friction affect this calculation?
A: This calculates the parallel component without friction. Friction would oppose this force.

Q5: Can I use this for objects on a slope?
A: Yes, this calculates the force that would cause an object to slide down the slope.

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