Back to Statics Of Rigid Bodies repository
Friction2D

Rough ladder against a wall

Distinguish actual static-friction demand from limiting friction in blocks, ladders, wedges, and belt systems.

Open the complete lesson

Advanced engineering statics simulation

Statics Friction Simulation Suite

Five distinct dry-friction models with explicit assumptions and scenario-specific free-body diagrams.

Solve a limiting-equilibrium ladder case with upward wall friction fully mobilized, then check the floor-friction capacity.

Weight
120 N
N
20500

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

Ladder angle above floor
30 deg
deg
580

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

Floor friction coefficient
0.45
0.051.00

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

Wall coefficient (fully mobilized)
0.30
0.020.90

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

Calculated statesliding
WNwFw=μwNwFf
Floor normal
99.48 N
Wall normal
68.39 N
Wall friction
20.52 N
Assumed at μwNw upward
Moment residual
0.00e+0
FsμsN,Fk=μkNF_s\leq\mu_sN,\qquad F_k=\mu_kN

The rough-wall ladder is closed by assuming upward wall friction is fully mobilized; the floor demand is then checked against its capacity.

Concept question: Predict the wall normal reaction under the stated limiting-wall-friction assumption.

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.