Physics

Problem

A non-uniform rod of length

4\text{ m}

has linear density

\lambda(x)=4-x

kilograms per meter, where

x

is measured from the left end. Let

\bar{x}

denote the

x

-coordinate of the rod’s center of mass. Which of the following values is correct for

\bar{x}

? a)

\dfrac{3}{2}\text{ m}

\dfrac{4}{3}\text{ m}

2\text{ m}

\dfrac{8}{3}\text{ m}