Moments

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A2 Maths – Mechanics – Moments

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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4A Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

Rigid Bodies 1 • Intro • Mech2 Ex4A/B • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (up to 15:38)

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 1-8✦

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 646a: Calculate the moment of a force about a point.
• 646i: Calculate the moment of a couple.
• 646: Exam Practice: Moments with horizontal/vertical forces (e.g. rods, suspended bars)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

A2 Maths – Mechanics – Resultant Moments

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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4B Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

Rigid Bodies 1 • Intro • Mech2 Ex4A/B • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (from 15:38)

Rigid Bodies 10 • Angled Forces • Mech2 Ex7D prep • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (up to 10:03)

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 9-12✦

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 646b: Calculate the resulting moment of perpendicular forces about a point.
• 646: Exam Practice: Moments with horizontal/vertical forces (e.g. rods, suspended bars)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Games

• echalk Balancing Princess Game (Limited Unless Subscribed)
• PhET Balancing Act Game (link)

A2 Maths – Mechanics – Equilibrium in Moments

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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4C Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

Rigid Bodies 2 • Simple Equilibrium Problems • Mech2 Ex4C • 🎲

Rigid Bodies 3 • Worded Equilibrium Problems • Mech2 Ex4C • 🎲

Rigid Bodies 4 • Hanging Beams • Mech2 Ex4C • 🎲

Rigid Bodies 5 • Further Hanging Beam example • Mech2 Ex4C • 🎲

Rigid Bodies 6 • Unusual exam question • Mech2 Ex4 ExamQ • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 13-17✦

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 646c: Solve problems involving a uniform rod resting on supports (no tilting).
• 646d: Determine a distance on a uniform rod when reaction forces are connected.
• 646f: Solve problems involving a rod suspended from supporting strings.
• 646: Exam Practice: Moments with horizontal/vertical forces (e.g. rods, suspended bars)

Other Videos

Moments

Courtesy of Maths Genie (Up to 11:46)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Worksheets

• MadAsMaths (T. Madas)
  • Moments (M1/M2) Q1, 3–6, 8–10, 12, 14, 16 (difficulty 2–4 of 5)

A2 Maths – Mechanics – Non-Uniform Rods

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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4D Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

Rigid Bodies 7 • Non-Uniform Rods • Mech2 Ex4D • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 18-20✦

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 646e: Solve problems involving a non-uniform rod resting on supports.
• 646: Exam Practice: Moments with horizontal/vertical forces (e.g. rods, suspended bars)

Other Videos

Moments

Courtesy of Maths Genie (From 11:46 to 17:11)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Worksheets

• MadAsMaths (T. Madas)
  • Moments (M1/M2) Q2, 7, 11, 13, 18 (difficulty 2–4 of 5)

A2 Maths – Mechanics – Tilting Moments

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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4E Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

Rigid Bodies 8 • On the Point of Tilting • Mech2 Ex4E • 🎲

Rigid Bodies 9 • Extra Point of Tilting example • Mech2 Ex4E • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 21-25✦

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 646g: Solve problems involving rods where the rod is on the verge of tilting.
• 646h: Solve problems involving rods where an object on the rod is considered at multiple locations.
• 646: Exam Practice: Moments with horizontal/vertical forces (e.g. rods, suspended bars)

Further Practice

• Practise Questions

Other Videos

Moments

Courtesy of Maths Genie (From 17:11)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Worksheets

Exam Question Practice

• WW PPQ by Topic Moments Section. Go to Old Spec M1 Questions for all types of questions that cover the material up to this point.

A2 Maths – Mechanics – DrawBridge Problems

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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Old Spec 5B Slides (Courtesy of Owen134866)

Textbook Exercise References

There are very few questions on this throughout the textbook (and none in chapter 7). I would recommend looking through past paper questions or the below worksheets. It can come up – and did in the first ever paper.

Bicen Maths Live Lesson

Rigid Bodies 15 • Hinges • Mech2 Ex7D • 🎲

Rigid Bodies 16 • Hinges, extra example • Mech2 Ex7D • 🎲

Rigid Bodies 18 • Horizontal Beam with Angled Rope • Mech2 Ex7D • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 659a: Calculate the resulting moment an inclined force about a point.
• 659b: Calculate the resulting moment of multiple inclined forces about a point.
• 659e: Solve problems involving a horizontal rod hinged to a wall with an inclined support.
• 659f: Determine the magnitude of the force exerted by a wall on a horizontal rod with an inclined support.
• 659h: Solve problems involving forces on a rod at multiple different (non-perpendicular) angles.
• 659i: Solve problems involving moments on a rectangular lamina. (not yet active)
• 659: Exam Practice: Moments for static rigid bodies with angled forces (e.g. hinges, ladders)

Other Videos

Statics of Rigid Bodies

Courtesy of Maths Genie (From 8:31 to 19:09)

Worksheets

• Naiker Maths
  • Static Rigid Bodies: Exam Qs 2005–11 · Mark scheme
• MadAsMaths (T. Madas)
  • Moments (M1/M2) Q15 (difficulty 4 of 5)
  • Equilibrium of Rigid Bodies (M2) Q5, 7–10, 15, 17, 18, 20, 22–25, 32–34, 36, 37, 40–46 (difficulty 3–5 of 5)

Exam Question Practice

• WW PPQ Section (Questions: New – 2018. Old – Jan 2007, June 2007, May 2009, June 2010, June 2011, June 2014)

A2 Maths – Mechanics – Moments and Resolving Forces (ladder questions)

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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7D Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

Rigid Bodies 10 • Angled Forces • Mech2 Ex7D prep • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths. From 10:03

Rigid Bodies 11 • Angled Rods Resting on Floors/Pegs • Mech2 Ex7D • 🎲

Rigid Bodies 12 • Resting on a Barrel/Drum • Mech2 Ex7D • 🎲

Rigid Bodies 13 • Ladders • Mech2 Ex7D • 🎲

Rigid Bodies 14 • Ladder example with Range of Values • Ex7D • 🎲

Rigid Bodies 17 • Resting on Two Pegs • Mech2 Ex7D • 🎲

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 15-17✦

Extra Questions

• Dr Frost Questions Only a couple ladders Questions, but other similar set ups included. For more practice see my PPQ section.

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 659c: Solve problems involving a rod resting against a wall in limiting equilibrium.
• 659d: Determine the range of values for the force applied at the bottom of a rod that would maintain equilibrium.
• 659g: Solve problems where a rod rests at an incline on a peg/over a wall or supported by a perpendicular force.
• 659: Exam Practice: Moments for static rigid bodies with angled forces (e.g. hinges, ladders)

Other Videos

Statics of Rigid Bodies

Courtesy of Maths Genie (Up to 8:31 and then from 19:09)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Worksheets

• MadAsMaths (T. Madas)
  • Equilibrium of Rigid Bodies (M2) Q1–4, 6, 11–14, 16, 19, 21, 26–30, 35, 38, 39 (difficulty 2–4 of 5)

Exam Question Practice

• WW PPQ Section (Questions: New – SAM. Old – Jan 2006, Jan 2008, Jan 2009, Jan 2013, June 2015. Similar to ladders set up June 2006, May 2008, Jan 2010, Jan 2011, Jan 2012, May 2012, June 2013, June 2016, June 2017, June 2018)

External Whole Topic Past Paper Style Questions

• WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
• WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
• Jethwa Maths Starter Activities
• PMT
  • AQA Moments and Equilibrium & MS
  • Edexcel PPQs
  • OCR MEI Rigid Bodies in Equilibrium
  • Cheat Sheet (Chapter 4)
  • Cheat Sheet (Chapter 7)

Other Whole Topic Resources

•  Lucyjc1612 Summary Poster (Moments)

Worksheets

• Mathshelper (Jon Stone)
  • Moments 1 · 2
• MathedUp
  • Moments: Questions · Challenge · Answers
  • Moments: Questions · Challenge
• Maths Genie
  • Moments: Questions · Solutions · Lesson · Topic page
• Mathsaurus (Kevin Olding)
  • Moments (exam questions)
• Naiker Maths
  • Moments (Parallel Forces): Exam Qs 2005–11 · Mark scheme
• Physics & Maths Tutor
  • Moments: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
• Exam Solutions
  • Exam questions – Moments horizontal beams✦
• Dr Oliver Mathematics
  • Moments Exam Questions✦ (answers✦)
• Dr Austin Maths
  • Equilibrium Practice Grid (Word | PDF✦ | Answers✦)
  • Resultant Practice Grid (Word | PDF✦ | Answers✦)

Activities

• MEI
  • MEI teaching notes, misconceptions & prompts: Moments✦
  • Investigating moments✦
• Andy Lutwyche
  • Erica’s Errors