Minimum-input-force direction

Apply constraint-compatible virtual displacements to levers, pulleys, mechanisms, and force-direction optimization.

Open the complete lesson

Advanced engineering statics simulation

Virtual Work Equilibrium Suite

Five distinct, constraint-compatible virtual-work models; efficiency is separated from geometry.

Simulation

Rotate the applied force relative to a lever arm and maximize its perpendicular moment arm.

Applied load120 N

20–400

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Input arm1.8 m

0.3–3.5

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Load arm0.8 m

0.2–2.5

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Force-to-arm angle40 deg

deg

5–90

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

compatible virtual motion

Required input

82.972 N

Virtual-work residual

0.00e+0 N·m

Should be near zero

dx/dθ

-2.314 m/rad

dy/dθ

2.758 m/rad

P r_P\sin\alpha-Wr_W=0

All virtual displacements come from one admissible generalized coordinate.

Model scope and verification

Scope: Educational rigid-body statics model using the selected geometry, stated idealizations, and displayed SI units.

Acceptance check: Check the governing equilibrium, compatibility, geometry, or limiting-condition statement before accepting the numerical result.

Lever equilibrium Pulley-system virtual work Scissor mechanism Small-displacement compatibility

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