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December 1st, 2011, 11:15 AM   #1
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center mass

The region between, y=1/x and the x axis from x=1 to x=7 is revolved about the x axis. find the CM of thin plate covering the region if the plates density at (x,y) is sqrt x

Trying to understand the formula to solve.

thanks.
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December 1st, 2011, 12:14 PM   #2
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Re: center mass

The center of mass is on the x axis by symmetry. So you have to:
1) Calculate the total mass which is (because is the area of the circle at abscissa x)
2) Then the abcisse of the center of mass is

PS: I wrote that quickly so check twice that there is no mistake or typos but the spirit should be there! Good luck.
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