Unit 29 · Coplanar Force Systems

A/L Combined Mathematics

• Forces as vectors: resultant and resolution
• Equilibrium of a particle: triangle of forces and Lami's theorem
• Moment of a force about a point
• Parallel forces and couples
• Reduction of a force system and equilibrium of a rigid body
• Friction: limiting equilibrium on rough surfaces and ladders
• Jointed rods: reactions at smooth hinges
• Frameworks of light rods: method of joints and Bow's notation
• Centre of mass of particles, laminas and composite bodies
• Centre of mass by integration: arcs, sectors, cones and hemispheres
• Suspended bodies, toppling and stability