Chapter 7: Further Mechanics 2: Centres of Mass of Plane Figures

A-level Further MathsFurther Mechanics 1 & 28 topicsHigher

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Further Mechanics 2: Centres of Mass of Plane Figures: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FM07-1 Find the required result for Further Mechanics 2: Centres of Mass of Plane Figures. Given A uniform rectangular lamina 8 cm by 5 cm has a 2 cm by 2 cm square removed from one corner. Use take moments of area about two perpendicular axes. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

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8 marksshow thathardEdexcel

FM07-2 Show that area remaining is 36

cm^{2}

for Further Mechanics 2: Centres of Mass of Plane Figures. Start from A uniform rectangular lamina 8 cm by 5 cm has a 2 cm by 2 cm square removed from one corner. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FM07-3 Determine the requested value in this structured Further Mechanics 2: Centres of Mass of Plane Figures problem: find the centre of mass from the original corner. Use the same data: A uniform rectangular lamina 8 cm by 5 cm has a 2 cm by 2 cm square removed from one corner. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FM07-4 Hence use the result area remaining is 36

cm^{2}

to complete the extension for Further Mechanics 2: Centres of Mass of Plane Figures: find the centre of mass from the original corner. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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6. Further Mechanics 2: Circular Motion

8. Further Mechanics 2: Further Centres of Mass

Key learning objectives

Understand the key principles behind Further Mechanics 2: Centres of Mass of Plane Figures.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.