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A-Level MathematicsYear 2022Q4

Turn over 15 Question 4 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 4 is 8 marks) 16 5. A 3a 3a 3a 3a D E F B O C Figure 3 The uniform plane lamina shown in Figure 3 is formed from two squares, ABCO and ODEF, and a sector ODC of a circle with centre O. Both squares have sides of length 3a and AO is perpendicular to OF. The radius of the sector is 3a [In part (a) you may use, without proof, any of the centre of mass formulae given in the formulae booklet.] (a) Show that the distance of the centre of mass of the sector ODC from OC is 4a π (3) (b) Find the distance of the centre of mass of the lamina from FC (4) The lamina is freely suspended from F and hangs in equilibrium with FC at an angle θ° to the downward vertical. (c) Find the value of θ (4) _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-4c-que-20220628.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)