page 05 MARKS 10. A particle of mass 0.1 kg is suspended from a fixed point O by a light inextensible rod of length 30 cm. The rod is rotating in a vertical circle with diameter AB and makes an angle θ with OB. The particle has a speed of 1.2 m s−1 at A. A O θ 30 cm B (a) Use conservation of energy to find the speed of the particle at B. (b) Find the tension in the rod when the particle is at A and interpret your answer. (c) Find the size of the angle θ when the tension in the rod is zero. 11. Find the particular solution of the differential equation 2x dy y xe dx x given that 2 3 2 y e when 1 x . Express your answer in the form y f x . [Turn over 2 3 5 6
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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.
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