OCR M4 2006 June — Question 1

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2006
SessionJune
TopicCentre of Mass 2

1 A straight rod \(A B\) of length \(a\) has variable density. At a distance \(x\) from \(A\) its mass per unit length is \(k ( a + 2 x )\), where \(k\) is a positive constant. Find the distance from \(A\) of the centre of mass of the rod.