OCR M4 2012 June — Question 4

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2012
SessionJune
TopicCentre of Mass 2

4 A uniform lamina of mass 18 kg occupies the region bounded by the \(x\)-axis, the \(y\)-axis, the line \(x = \ln 9\) and the curve \(y = \mathrm { e } ^ { \frac { 1 } { 2 } x }\) for \(0 \leqslant x \leqslant \ln 9\). The unit of length is the metre. Find the moment of inertia of this lamina about the \(x\)-axis.