check_equilibrium
Verify static equilibrium by checking if net force and net torque equal zero for a system of forces and positions.
Instructions
Check complete static equilibrium: ΣF = 0 and Στ = 0.
For static equilibrium, both force and torque must be balanced.
Args:
forces: List of force vectors [[x,y,z], ...] in N (or JSON string)
force_positions: Positions where forces applied [[x,y,z], ...] (or JSON string)
pivot_point: Pivot point for torque calculation [x,y,z] (default [0,0,0])
tolerance: Tolerance for equilibrium check (default 0.01)
Returns:
Dict containing:
- force_balanced: Whether ΣF = 0
- torque_balanced: Whether Στ = 0
- in_equilibrium: Whether system is in static equilibrium
- net_force: Net force [x, y, z] in N
- net_torque: Net torque [x, y, z] in N⋅m
Example - Beam with two forces:
result = await check_equilibrium(
forces=[[0, 100, 0], [0, -100, 0]],
force_positions=[[1, 0, 0], [2, 0, 0]]
)Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| forces | Yes | ||
| force_positions | Yes | ||
| pivot_point | No | ||
| tolerance | No |