OCR M4 2012 June — Question 2

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

2 A uniform solid of revolution is formed by rotating the region bounded by the \(x\)-axis and the curve \(y = x \left( 1 - \frac { x ^ { 2 } } { a ^ { 2 } } \right)\) for \(0 \leqslant x \leqslant a\), where \(a\) is a constant, about the \(x\)-axis. Find the \(x\)-coordinate of the centre of mass of this solid.