AQA M2 2012 January — Question 5

Exam BoardAQA
ModuleM2 (Mechanics 2)
Year2012
SessionJanuary
TopicCircular Motion 1

5 A parcel is placed on a flat rough horizontal surface in a van. The van is travelling along a horizontal road. It travels around a bend of radius 34 m at a constant speed. The coefficient of friction between the parcel and the horizontal surface in the van is 0.85 . Model the parcel as a particle travelling around part of a circle of radius 34 m and centre \(O\), as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{06c3e260-8167-4616-97d4-0f360a376a0f-4_348_700_687_667} Find the greatest speed at which the van can travel around the bend without causing the parcel to slide.