A-level FURTHER MATHEMATICS Paper 3 Mechanics

Answer all questions in the spaces provided. 1 State the dimensions of power. Circle your answer. ML2T —3 ML3T —3 ML3T —2 ML2T —2 [1 mark] box 2 The force (3i þ 4j) N acts at the point with coordinates (0, 2) The unit vectors i and j are directed along the x-axis and the y-axis respectively. Calculate the magnitude of the moment of this force about the origin. Circle your answer. [1 mark] 6Nm 8 Nm 10 Nm 14 N m 3 A uniform disc has mass 6 kg and diameter 8 cm A uniform rectangular lamina, ABCD, has mass 4 kg, width 8 cm and length 20 cm The disc is fixed to the lamina to form a composite body as shown in the diagram below. A B outside the box 8 cm D C 20 cm The sides AB, AD and CD are tangents to the disc. Calculate the distance of the centre of mass of the composite body from AD Circle your answer. [1 mark] 4 cm 5.6 cm 6.4