OCR H240/03 2023 June — Question 9

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2023
SessionJune
TopicFriction

9
\includegraphics[max width=\textwidth, alt={}, center]{977ffad6-2440-46bf-9f17-0f30817d2ddf-07_273_569_781_242} A block \(B\) of weight 10 N lies at rest in equilibrium on a rough plane inclined at \(\theta\) to the horizontal. A horizontal force of magnitude 2 N , acting above a line of greatest slope, is applied to \(B\) (see diagram).
  1. Complete the diagram in the Printed Answer Booklet to show all the forces acting on \(B\). It is given that \(B\) remains at rest and the coefficient of friction between \(B\) and the plane is 0.8 .
  2. Determine the greatest possible value of \(\tan \theta\).