Control & ModelingDiscipline: Foundations of Engineering (CIV1200)
Statics Equilibrium & Decision Matrix
Interactive 2D Free Body Diagram vector engine modeling equilibrium, normal reaction, and string tension alongside a weighted multi-criteria engineering design decision matrix.
Instrument State:Live Analytical DSP Engine
Engineering Mechanics & Problem Solving LabCIV1200
Interactive Free Body Diagrams (FBD), static equilibrium vectors, and weighted decision matrices.
Sphere Mass (m)10 kg
String Inclination (θ)30°
Horizontal Pull Force (P)50 N
Equilibrium Equations:
Σ Fx = 0 ➔ T · cos(30°) = 50 N
Σ Fy = 0 ➔ R + T · sin(30°) = 98.1 N
Free Body Diagram (FBD) Isolated View
m = 10kg
W = 98.1N
R = 69.23N
P = 50N
✓ Ground Equilibrium maintained (Normal reaction R = 69.23 N)
Cable Tension (T)57.74 N
Normal Reaction (R)69.23 N
Gravity Weight (W)98.1 N
Technical Instrument Specifications
Equilibrium LawΣFx = 0, ΣFy = 0
Contact ReactionR = mg - T·sin(θ)
Tension StringT = P / cos(θ)
Decision MatrixPugh Weighted Concept Scoring
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