A non-uniform rod of length has linear density kilograms per meter

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

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}

(b)

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

(c)

2\text{ m}

(d)

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