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A-Level MathematicsYear 2021Q2

Turn over 7 Question 2 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 2 is 10 marks) 8 3. A B C D E F G H I J 8a 5a 2a 2a 2a 2a 2a 2a Figure 3 The uniform lamina ABCDEFGHIJ is shown in Figure 3. The lamina has AJ = 8a , AB = 5a and BC = DE = EF = FG = GH = HI = IJ = 2a. All the corners are right angles. (a) Show that the distance of the centre of mass of the lamina from AJ is 49 26 a (5) A light inextensible rope is attached to the lamina at A and another light inextensible rope is attached to the lamina at B. The lamina hangs in equilibrium with both ropes vertical and AB horizontal. The weight of the lamina is W. (b) Find, in terms of W, the tension in the rope attached to the lamina at B. (3) The rope attached to B breaks and subsequently the lamina hangs freely in equilibrium, suspended from A. (c) Find the size of the angle between AJ and the downward vertical. (5) _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:8FM0_26_que_20211008.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)