Visiting from mainland China? Try the China-friendly mirror (cn.improject.org).
News

Topic summary · Mechanics (M1)

Statics of a Particle summary

Statics of a particle: forces in equilibrium so the vector sum is zero. Resolve into two perpendicular directions.

Files: M1-Statics of a Particle.pdf · M1-Statics of a Particle answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • ∑Fx=0\sum F_x=0 and ∑Fy=0\sum F_y=0.
  • Include weight, tension, normal reaction and friction as appropriate.
  • A clear labelled diagram is part of the method.
  • Three concurrent forces may invite Lami’s theorem if taught.

Worked example 1 — Hanging particle

Particle in equilibrium on one vertical string. Tension?

Working

T=mgT=mg

Vertical balance: tension equals weight.

Worked example 2 — and

Use this method from the Statics of a Particle sheet: ∑Fx=0\sum F_x=0 and ∑Fy=0\sum F_y=0.

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 — Include weight, tension, normal reaction and friction

Use this method from the Statics of a Particle sheet: Include weight, tension, normal reaction and friction as appropriate.

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 — A clear labelled diagram is part of the method

Use this method from the Statics of a Particle sheet: A clear labelled diagram is part of the method.

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 — Three concurrent forces may invite Lami’s theorem

Use this method from the Statics of a Particle sheet: Three concurrent forces may invite Lami’s theorem if taught.

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.