Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Particles $A$ and $B$, with masses $0.65\,\text{kg}$ and $0.35\,\text{kg}$ respectively, are fixed to the ends of a light inextensible string that passes over a fixed smooth pulley. $B$ is kept at rest while the string is taut and both straight sections are vertical. The system is released from rest, after which the particles move vertically.
(main)[5]

Determine the tension in the string and the magnitude of the resultant force on the pulley due to the string.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses Newton’s second law for one particle, e.g. $0.65g - T = 0.65a$ or $T - 0.35g = 0.35a$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI