AQA Paper 2 2019 June — Question 14

Exam BoardAQA
ModulePaper 2 (Paper 2)
Year2019
SessionJune
TopicMoments

14 A metal rod, of mass \(m\) kilograms and length 20 cm , lies at rest on a horizontal shelf. end of the rod, \(B\), extends 6 cm beyond the edge of the shelf, \(A\), as shown in the The end of the rod, \(B\), extends 6 cm beyond the edge of the shelf, \(A\), as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{838f0625-95e6-4ad4-b97b-3d3f77cc7f19-20_337_757_488_639} 14
  1. The rod is in equilibrium when an object of mass 0.28 kilograms hangs from the midpoint of \(A B\). Show that \(m = 0.21\) 14
  2. The object of mass 0.28 kilograms is removed. A number, \(n\), of identical objects, each of mass 0.048 kg , are hung from the rod all at a distance of 1 cm from \(B\). Find the maximum value of \(n\) such that the rod remains horizontal.
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  3. State one assumption you have made about the rod.