Question

A rod with density 3+sin(x) lies on the x-axis between x=0 and x=pi. Find the mass and center of mass of the rod.

Answer 1

so here you integrate... from 0 to pi.

\[m = \int\limits_{0}^{\pi}(3+\sin x)dx\]

and the center of mass of the rod is

\[CM = \frac{ 1 }{ m }\int\limits_{0}^{\pi}x(3+\sin x)dx\]

Answer 2

you there?

Answer 3

yeah im trying to figure it out sorry

Answer 4

no it's okay. take your time

Answer 5

yay i got the right answers! :D thank you!

Answer 6

you're welcome!

Answer 7

how do you find a mass of a triangle? is it the same or different?

Answer 8

what's the density function?

Answer 9

hey sorry i fell asleep! so the function is 1+x grams/cm^2 and this is what the pictures looks like that im given....