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Topic summary · Mechanics (M2)

Statics summary

Rigid-body statics needs both force equilibrium and moment equilibrium about a sensible point.

Files: M2-Statics.pdf · M2-Statics answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Resolve in two directions; take moments to eliminate unknowns.
  • Support reactions may have horizontal and vertical components.
  • Uniform beam: place weight at the midpoint.
  • Keep clockwise/anticlockwise conventions consistent.

Worked example 1 — Choice of pivot

Why take moments about a support?

Working

that support reaction has zero moment\text{that support reaction has zero moment}

Removes one unknown from the moment equation.

Worked example 2 — Resolve in two directions; take moments to eliminate

Use this method from the Statics sheet: Resolve in two directions; take moments to eliminate unknowns.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Support reactions may have horizontal and vertical comp

Use this method from the Statics sheet: Support reactions may have horizontal and vertical components.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Uniform beam: place weight at the midpoint

Use this method from the Statics sheet: Uniform beam: place weight at the midpoint.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Keep clockwise/anticlockwise conventions consistent

Use this method from the Statics sheet: Keep clockwise/anticlockwise conventions consistent.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.