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6 marksKinematics and Dynamics

CAPE Applied Mathematics Unit 2 · 2017 · Paper 2 · Question 5(a)(ii)

Particles A and B of masses (m+3)\text{ kg} and m\text{ kg} are connected by a light inextensible string over a smooth pulley at the edge of a table. B hangs freely, A is on a rough table with coefficient of friction 0.36. The acceleration is 2.5\text{ ms}^{-2}. Take g = 10\text{ ms}^{-2}.

Determine the masses of the particles, A and B.

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Other parts of this question

  1. 5(a)(i)Draw a diagram to illustrate this information, showing the forces acting on the system.[4 marks]
  2. 5(a)(iii)Calculate the tension, T, in the string.[2 marks]
  3. 5(b)(i)If air resistance is ignored, determine the time taken for the object to hit the ground.[9 marks]
  4. 5(b)(ii)Show that the distance from the foot of the cliff to the point where the object strikes the ground is x = 5(\sqrt{120} - \sqrt{3})\text{ m}.[4 marks]

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