check_torque_balance
Verify rotational equilibrium by checking if net torque equals zero for torque vectors. Essential for solving lever problems and analyzing rotational balance in physics.
Instructions
Check if torques are in equilibrium: Στ = 0.
Verifies whether a system of torques is balanced (net torque = 0).
Essential for rotational equilibrium and lever problems.
Args:
torques: List of torque vectors [[x,y,z], ...] in N⋅m (or JSON string)
tolerance: Tolerance for equilibrium check (fraction, default 0.01)
Returns:
Dict containing:
- net_torque: Net torque vector [x, y, z] in N⋅m
- net_torque_magnitude: Net torque magnitude in N⋅m
- is_balanced: Whether torques are in equilibrium
- individual_magnitudes: Magnitude of each torque
Example - Seesaw balance:
result = await check_torque_balance(
torques=[[0, 0, 100], [0, 0, -100]],
tolerance=0.01
)Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| torques | Yes | ||
| tolerance | No |