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A-Level MathematicsYear 2022Q2

Turn over 7 Question 2 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 2 is 7 marks) 8 3. A 3a 3a 3a 4a 4a 5a 4a 5a 5a D E F B C Figure 1 Nine uniform rods are joined together to form the rigid framework ABCDEFA, with AB = BC = DF = 3a, BF = CD = DE = 4a and AF = FE = CF = 5a, as shown in Figure 1. All nine rods lie in the same plane. The mass per unit length of each of the rods BF, CF and DF is twice the mass per unit length of each of the other six rods. (a) Find the distance of the centre of mass of the framework from AC (4) The mass of the framework is M. A particle of mass kM is attached to the framework at E to form a loaded framework. When the loaded framework is freely suspended from F, it hangs in equilibrium with CE horizontal. (b) Find the exact value of k (3) _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

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)