Science:Math Exam Resources/Courses/MATH103/April 2005/Question 01 (e)/Hint 1

The formula for the centre of mass of a continuous distribution over the interval $0\leq x\leq L$ is

${\overline {x}}={\frac {\int _{0}^{L}x\rho (x)dx}{\int _{0}^{L}\rho (x)dx}}$

where $\rho (x)$ is the mass density function.