check_force_balance
Determines if a set of force vectors is balanced by computing net force and verifying equilibrium within a tolerance, essential for statics analysis.
Instructions
Check if forces are in equilibrium: ΣF = 0.
Verifies whether a system of forces is balanced (net force = 0).
Essential for statics problems and structural analysis.
Args:
forces: List of force vectors [[x,y,z], ...] in Newtons (or JSON string)
tolerance: Tolerance for equilibrium check (fraction, default 0.01)
Returns:
Dict containing:
- net_force: Net force vector [x, y, z] in Newtons
- net_force_magnitude: Net force magnitude in Newtons
- is_balanced: Whether forces are in equilibrium
- individual_magnitudes: Magnitude of each force
Example - Bridge support forces:
result = await check_force_balance(
forces=[[0, 1000, 0], [0, 500, 0], [0, -1500, 0]],
tolerance=0.01
)
# is_balanced = True if net force ≈ 0Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| forces | Yes | ||
| tolerance | No |