Chapter 8: Further Mechanics 2: Further Centres of Mass

A-level Further MathsFurther Mechanics 1 & 25 topicsHigher

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Further Mechanics 2: Further Centres of Mass: 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

FM08-1 Find the required result for Further Mechanics 2: Further Centres of Mass. Given A solid consists of a uniform cone of height 12 cm and radius 4 cm joined to a hemisphere of radius 4 cm at the base. Use use standard centre of mass positions and volume weighting. (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

FM08-2 Show that the cone centre is 3 cm from its base and the hemisphere centre is 3r/8 from its base for Further Mechanics 2: Further Centres of Mass. Start from A solid consists of a uniform cone of height 12 cm and radius 4 cm joined to a hemisphere of radius 4 cm at the base. (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

FM08-3 Determine the requested value in this structured Further Mechanics 2: Further Centres of Mass problem: find the combined centre on the axis. Use the same data: A solid consists of a uniform cone of height 12 cm and radius 4 cm joined to a hemisphere of radius 4 cm at the base. (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

FM08-4 Hence use the result the cone centre is 3 cm from its base and the hemisphere centre is 3r/8 from its base to complete the extension for Further Mechanics 2: Further Centres of Mass: find the combined centre on the axis. (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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7. Further Mechanics 2: Centres of Mass of Plane Figures

9. Further Mechanics 2: Kinematics

Key learning objectives

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