CAIE M2 2004 June — Question 2

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2004
SessionJune
TopicCentre of Mass 2

2
\includegraphics[max width=\textwidth, alt={}, center]{835616aa-0b2b-4e8c-bbbf-60b72dc5ea3e-2_291_732_822_708} A uniform lamina \(A B C D E\) consists of a rectangular part with sides 5 cm and 10 cm , and a part in the form of a quarter of a circle of radius 5 cm , as shown in the diagram.
  1. Show that the distance of the centre of mass of the part \(C D E\) of the lamina is \(\frac { 20 } { 3 \pi } \mathrm {~cm}\) from \(C E\).
  2. Find the distance of the centre of mass of the lamina \(A B C D E\) from the edge \(A B\).