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Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 32: Mechanics. question booklet and mark scheme results 2021

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1. A particle P moves with constant acceleration (2i − 3j)ms−2 At time t = 0, P is moving with velocity 4ims−1 (a) Find the velocity of P at time t = 2 seconds. (2) At time t = 0, the positi... on vector of P relative to a fixed origin O is (i + j)m. (b) Find the position vector of P relative to O at time t = 3 seconds. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________2. A (3m) α P B (m) Figure 1 A small stone A of mass 3m is attached to one end of a string. A small stone B of mass m is attached to the other end of the string. Initially A is held at rest on a fixed rough plane. The plane is inclined to the horizontal at an angle α, where tanα = 3 4 The string passes over a pulley P that is fixed at the top of the plane. The part of the string from A to P is parallel to a line of greatest slope of the plane. Stone B hangs freely below P, as shown in Figure 1. The coefficient of friction between A and the plane is 1 6 Stone A is released from rest and begins to move down the plane. The stones are modelled as particles. The pulley is modelled as being small and smooth. The string is modelled as being light and inextensible. Using the model for the motion of the system before B reaches the pulley, (a) write down an equation of motion for A (2) (b) show that the acceleration of A is 1 10 g (7) (c) sketch a velocity-time graph for the motion of B, from the instant when A is released from rest to the instant just before B reaches the pulley, explaining your answer. (2) In reality, the string is not light. (d) State how this would affect the working in part (b). [Show More]

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