AQA Paper 2 2023 June — Question 17

Exam BoardAQA
ModulePaper 2 (Paper 2)
Year2023
SessionJune
TopicMoments

17 A uniform plank \(P Q\), of length 7 metres, lies horizontally at rest, in equilibrium, on two fixed supports at points \(X\) and \(Y\) The distance \(P X\) is 1.4 metres and the distance \(Q Y\) is 2 metres as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{de8a7d38-a665-4feb-854e-ac83f413d133-26_56_689_534_762}
\includegraphics[max width=\textwidth, alt={}, center]{de8a7d38-a665-4feb-854e-ac83f413d133-26_225_830_607_694} 17
  1. The reaction force on the plank at \(X\) is \(4 g\) newtons.
    17
    1. Show that the mass of the plank is 9.6 kilograms.
      17
  2. (ii) Find the reaction force, in terms of \(g\), on the plank at \(Y\)
    17
  3. The support at \(Y\) is moved so that the distance \(Q Y = 1.4\) metres. The plank remains horizontally at rest in equilibrium.
    It is claimed that the reaction force at \(Y\) remains unchanged.
    Explain, with a reason, whether this claim is correct.