Statics: 2D Force Equilibrium
Learn how structures hold still under load. Master free body diagrams, vector resolution, and static equilibrium equations to calculate internal tension and compression.
Like Duolingo, but for Statics: 2D Force Equilibrium. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
21 levels across 3 sections, about 42 minutes end to end, roughly 8 days at five minutes a day. It moves through Isolating the Point, Breaking Down Force Vectors, and Solving Equilibrium Equations. It starts from scratch.
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Key ideas in Statics: 2D Force Equilibrium
- Stationary objects are rarely force-free; gravity constantly pulls them downward
- Resting in equilibrium means active upward supports (like cables or nails) match the downward pull of gravity dollar-for-dollar
- When all lines of force intersect at one single point, they cannot cause the connection to spin or rotate
- Treating a joint as a particle simplifies equilibrium analysis because you only have to balance pushes and pulls, not twists
- Forces act along specific directions and can only cancel forces acting along that same axis
- A purely vertical force has zero horizontal effect, so it cannot stop sideways motion or drift
- Equilibrium in a plane requires horizontal pushes and pulls to balance completely on their own
- Equilibrium simultaneously requires all vertical forces (like gravity and upward cable pull) to sum to zero
- If either direction fails to balance independently, the object will accelerate in that direction
- Placing vectors tip-to-tail visualizes total net force as the distance from the start to the finish
- Because forces in equilibrium cancel completely, the final arrow must land right back at the starting origin, forming a closed shape
- Equilibrium analysis requires mentally isolating a joint from the rest of the structure
- Every connection or support cut away must be replaced by an external force arrow acting on the pin
- Once all connection forces are drawn, you set their sum to zero to check equilibrium
- Deciding when an engineering connection can be modeled as a single point in equilibrium
- Flexible cables and chains can only pull; they go slack if pushed
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Statics: 2D Force Equilibrium the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
Your heavy mirror hangs motionless on a single wall nail. What is the nail doing?
Get it right to open this lesson and 20 more in the app.
Where Statics: 2D Force Equilibrium takes you
- 1
Isolating the Point
- Forces in Balance at a Point
- Drawing Free Body Diagrams
- 2
Breaking Down Force Vectors
- Splitting Angled Forces with Trigonometry
- Resolving Forces with Slope Triangles
- 3
Solving Equilibrium Equations
- Setting Up and Solving the Equations
- Identifying Tension and Compression
- Analyzing Multi-Force Systems
3 sections · 7 units · 21 levels. Built to play, not to enroll.
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