Mechanical Torque & Lever Physics Sandbox

Balance Scale Torque Simulator

Rigid Lever Fulcrum & Moment Arm Viewport
Drag masses onto notch hooks [-5 to +5]
System State PERFECT EQUILIBRIUM
Net Torque (Στ) 0.0 N·m
Beam Deflection 0.00°
Mass Repository (Drag to any notch or click to auto-mount) Active
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Orange (?kg)
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Azure (?kg)
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Emerald (?kg)
1
1 kg
2
2 kg
4
4 kg
8
8 kg
10
10 kg

Archimedes' Law of the Lever

For a lever in static rotational equilibrium, the algebraic sum of all torques about the pivot must equal zero (Στ = 0). Each mass generates torque τ = m × g × d, where d is the signed perpendicular distance from the fulcrum.

Deducing Unknown Masses

When an unknown mass X sits at notch d_x alongside known weights, solve via linear isolation: X = [ Σ(m_opp × d_opp) - Σ(m_same × d_same) ] / d_x.

Compound Mobile Levers

In multi-tier balances, lower beams transfer their total mass (M_tier = Σ m_children) upwards as a single point load hung from the parent notch.

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