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A-Level MathematicsYear 2020Q4

15 Turn over Question 4 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 4 is 9 marks) 16 5. 40 cm P O A 60 cm Figure 4 A particle P of mass 0.75 kg is attached to one end of a light inextensible string of length 60 cm. The other end of the string is attached to a fixed point A that is vertically above the point O on a smooth horizontal table, such that OA = 40 cm. The particle remains in contact with the table, with the string taut, and moves in a horizontal circle with centre O, as shown in Figure 4. The particle is moving with a constant angular speed of 3 radians per second. (a) Find (i) the tension in the string, (ii) the normal reaction between P and the table. (7) The angular speed of P is now gradually increased. (b) Find the angular speed of P at the instant P loses contact with the table. (4) _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_4C_que_20201024.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)