calculate_normal_force
Calculate the normal force on an inclined plane given mass, angle, gravity, and optional additional perpendicular force. Returns normal force and weight components.
Instructions
Calculate normal force on an inclined plane.
On an incline at angle θ:
- N = mg cos(θ) + F_additional
- Weight component perpendicular: mg cos(θ)
- Weight component parallel: mg sin(θ)
Args:
mass: Object mass in kg
gravity: Gravitational acceleration in m/s² (default 9.81)
angle_degrees: Incline angle in degrees (0 = horizontal)
additional_force: Additional perpendicular force in Newtons (optional)
Returns:
Dict containing:
- normal_force: Normal force in Newtons
- weight_component_perpendicular: Weight component ⊥ to surface
- weight_component_parallel: Weight component ∥ to surface
Example - Box on 30° ramp:
result = await calculate_normal_force(
mass=10.0,
angle_degrees=30.0
)
# normal_force ≈ 84.9 NInput Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| mass | Yes | ||
| gravity | No | ||
| angle_degrees | No | ||
| additional_force | No |