Chapter 5.3
Static equilibrium problems
What You'll Learn
Identify all forces acting on objects in static equilibrium, including gravity, tension, friction, and normal forces
Apply rotational equilibrium by balancing clockwise and counterclockwise torques around a chosen pivot point
Calculate perpendicular force components that create torques on beams and ladders
Apply translational equilibrium by ensuring forces sum to zero in both x and y directions
Select strategic pivot points to minimize unknown forces in torque equations
Determine coefficients of static friction from maximum friction forces before slipping occurs
What You'll Practice
1
Solving beam problems with hanging masses, cables, and hinges
2
Calculating tensions in wires supporting uniform beams at angles
3
Finding forces on hinges using both rotational and translational equilibrium
4
Analyzing ladder problems with friction, normal forces, and weight distribution
5
Using trigonometry to resolve forces into perpendicular and parallel components
Why This Matters
Static equilibrium problems teach you to analyze structures that must remain stable under loadcritical for engineering, architecture, and construction. Whether designing bridges, scaffolding, or everyday objects, understanding how forces balance prevents catastrophic failures and ensures safety.
This Unit Includes
3 Video lessons
Skills
Static Equilibrium
Torque
Rotational Equilibrium
Translational Equilibrium
Free Body Diagrams
Force Components
Friction
Trigonometry
