| Exam Board | OCR |
| Module | M4 (Mechanics 4) |
| Year | 2006 |
| Session | June |
| Topic | Centre 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.