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## Homework Statement

A rod of length 30.0 cm has linear density (mass-per-length) given by

λ = 50.0 g/m + 20.0x g/m

^{2}

where x is the distance from one end, measured in meters. (a) What is the mass of the rod?

(b) How far from the x = 0 end is the center of mass?

## Homework Equations

X

_{cm}= l/2

## The Attempt at a Solution

λ = 50.0 g/m + (20.0)(.3m) g/m

^{2}

λ = 56 g/m * .3 m

λ = 16.8 g

X

_{cm}= .3/2 = .15

The actual answers are 15.9 g and .159 m

Am I not using the formulas correctly?