Subject 09 · Mechanics
Chapter 09
Statics
When an object remains still, its forces and turning effects balance together. Apply that model to stability, structures, ladders, beams, and continuous loads.
Build statics one idea at a time.
Start with the foundations, then explore advanced ideas and calculus at the depth your course needs.
7 of 7 lessons
Centre of Mass & Stability
Locate the balance point and test whether the weight line remains inside the base.
Static Equilibrium & Free-Body Diagrams
Isolate one body and satisfy force and moment balance.
Moments, Couples & Torque
Connect force, perpendicular distance, angle, and sign conventions.
Distributed Loads & Resultants
Replace a load distribution with one equivalent force at its centroid.
Beams, Supports & Reactions
Recognise support constraints and calculate pin and roller reactions.
Ladders, Hinges & Friction
Balance contact forces, hinge reactions, weight, and limiting friction.
Advanced Statics & Calculus
Connect load, shear force, and bending moment.
Change one variable. Watch the physics respond.
Explore M = Fd, then take the idea into the full lessons.
Balance a moment
The same turning effect can come from a large force near the pivot or a smaller force further away.
Everything around the chapter, in one place.
Keep building with practice, classroom presentations, formulae, and a game that puts these ideas to work.
Exam practice
Questions, guided reasoning, and exam-style problem solving.
Browse exam questions →Formula toolkit
Keep the key relationships and their units close to hand.
Review formulae →Members · Classroom presentationClassroom slides
Reveal lesson ideas, examples, and checks in full-screen classroom mode.
Open slides →Lesson files
Find downloadable teaching resources and worksheets in the library.
View files →Counterweight Crane
ΣMO = 0. Slide a counterweight until every lift balances before the rig tips.
Play the free chapter game →See it. Read it. Work it.
Connect diagrams to physical relationships and exam reasoning.
Explore diagrams →Guided support
Ask for a hint, check your reasoning, or explore a similar problem.
Ask GioAI →Key ideas to remember
A free-body diagram contains only forces acting on the chosen body. Velocity arrows, dimensions, and third-law partners may help the solution, but they are not extra forces on that diagram.
Move without losing your place.
Extra challenging questions
Take the ideas further with course-specific extension questions, supplied-data graphs and worked solutions.