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Introduction and mechanics foundations2D

Parallelogram and triangle vector addition

Fundamental quantities, equilibrium boundaries, units, idealizations, and vector construction used throughout rigid-body statics.

Open the complete lesson

Advanced engineering statics simulation

Introduction to Statics Laboratory

Five mechanics-foundation models with explicit units, assumptions, and independent calculations.

Compare equivalent vector constructions and verify the resultant from Cartesian components.

Vector A magnitude
10.0 N
N
0.015.0

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

Vector A angle
30 °
°
0360

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

Vector B magnitude
8.0 N
N
0.015.0

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

Vector B angle
120 °
°
0360

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

Equivalent vector constructionsComponents, the parallelogram law, and the triangle rule give the same resultant.A = 10.0 NB = 8.0 NR = 12.81 N
Rx
4.660 N
Ry
11.928 N
Resultant
12.806 N
68.66° from +x

Concept question: Predict the magnitude of A + B.

Model scope and verification

Scope: Educational mechanics models using ideal forces, rigid geometry where stated, and explicit SI/US conversion constants. Idealization thresholds are screening guidance, not universal design limits.

Acceptance check: Check dimensions first, then verify force balance, W = mg, exact conversion factors, the stated screening thresholds, or Cartesian component addition. Vector labels use a fixed legend so coincident and zero-resultant cases remain readable.