OCR M4 2003 June — Question 2

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2003
SessionJune
TopicMoments of inertia

2
\includegraphics[max width=\textwidth, alt={}, center]{de53978b-aa96-4fa2-a928-81a16450154e-2_462_490_610_834} The diagram shows a uniform lamina \(A B C D E F\) in which all the corners are right angles. The mass of the lamina is \(3 m\).
  1. Show that the moment of inertia of the lamina about \(A B\) is \(3 m a ^ { 2 }\).
  2. Find the moment of inertia of the lamina about an axis perpendicular to the lamina and passing through \(A\).