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CM of a rod

madmax
in Homework Help

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A long thin rod lies along the x-axis. One end is at x=2.00 m and the other at x=3.00 m. Its linear mass density l =0.400 x2+0.600, in kg/m. Calculate mass and the x-coordinate of the CM of the rod.

 

Can anyone help me out here? I have no idea how to set this problem up

Not sure what "x2" is but in any case you have to integrate. For example for getting the mass you add up the masses of small pieces of the rod which in the limit of very small pieces is an integration over the density. For the center of mass (what is what CM means?) you should have a suitable formula (if not, then think of one) that you can also take the limit of super small pieces of.

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