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Topic summary · Mechanics (M1)

Moments summary

Moments measure turning effect: force times perpendicular distance from the pivot. Rigid-body equilibrium needs force and moment balance.

Files: M1-Moments.pdf · M1-Moments answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Moment =F×d⊥=F\times d_\perp.
  • Clockwise and anticlockwise moments balance in equilibrium.
  • Choose a pivot that eliminates an unknown reaction.
  • Units: N·m.

Worked example 1 — Simple moment

A 12 N12\,\mathrm{N} force acts perpendicularly 0.4 m0.4\,\mathrm{m} from a pivot. Moment?

Working

4.8 N⋅m4.8\,\mathrm{N\cdot m}

Multiply force by perpendicular distance.

Worked example 2 — Moment

Use this method from the Moments sheet: Moment =F×d⊥=F\times d_\perp.

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 — Clockwise and anticlockwise moments balance in equilibr

Use this method from the Moments sheet: Clockwise and anticlockwise moments balance in equilibrium.

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 — Choose a pivot that eliminates an unknown reaction

Use this method from the Moments sheet: Choose a pivot that eliminates an unknown reaction.

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 — Units: N·m

Use this method from the Moments sheet: Units: N·m.

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.

Moments summary — worksheet & answers PDF