Exam-Style Problem

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June 2011 p41 q7
3566

Loads A and B, of masses 1.2 kg and 2.0 kg respectively, are attached to the ends of a light inextensible string which passes over a fixed smooth pulley. A is held at rest and B hangs freely, with both straight parts of the string vertical. A is released and starts to move upwards. It does not reach the pulley in the subsequent motion.

  1. Find the acceleration of A and the tension in the string.
  2. Find, for the first 1.5 metres of A’s motion,
    1. A’s gain in potential energy,
    2. the work done on A by the tension in the string,
    3. A’s gain in kinetic energy.
  3. B hits the floor 1.6 seconds after A is released. B comes to rest without rebounding and the string becomes slack.
  4. Find the time from the instant the string becomes slack until it becomes taut again.
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