CAIE FP2 2013 November — Question 3

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2013
SessionNovember
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMoments of inertia
TypeProve MI by integration
DifficultyStandard +0.8 This is a Further Maths question on moments of inertia, a topic requiring integration techniques and understanding of rotational mechanics. Further maths content is inherently more challenging than standard A-level. However, without seeing the specific question details, and given that moments of inertia problems typically follow standard procedures (setting up and evaluating integrals), this represents a moderately challenging further maths question rather than an exceptionally difficult one.

3 hours
Additional Materials:
Answer Booklet/Paper
Graph Paper
List of Formulae (MF10) \section*{READ THESE INSTRUCTIONS FIRST} If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet.
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use a soft pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer all the questions.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question.
Where a numerical value is necessary, take the acceleration due to gravity to be \(10 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
The use of a calculator is expected, where appropriate.
Results obtained solely from a graphic calculator, without supporting working or reasoning, will not receive credit.
You are reminded of the need for clear presentation in your answers.
At the end of the examination, fasten all your work securely together.
[0pt] The number of marks is given in brackets [ ] at the end of each question or part question.

3 hours\\
Additional Materials:\\
Answer Booklet/Paper\\
Graph Paper\\
List of Formulae (MF10)

\section*{READ THESE INSTRUCTIONS FIRST}
If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet.\\
Write your Centre number, candidate number and name on all the work you hand in.\\
Write in dark blue or black pen.\\
You may use a soft pencil for any diagrams or graphs.\\
Do not use staples, paper clips, highlighters, glue or correction fluid.\\
Answer all the questions.\\
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question.\\
Where a numerical value is necessary, take the acceleration due to gravity to be $10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.\\
The use of a calculator is expected, where appropriate.\\
Results obtained solely from a graphic calculator, without supporting working or reasoning, will not receive credit.\\
You are reminded of the need for clear presentation in your answers.\\
At the end of the examination, fasten all your work securely together.\\[0pt]
The number of marks is given in brackets [ ] at the end of each question or part question.

\hfill \mbox{\textit{CAIE FP2 2013 Q3}}