Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape. ρ = 3?

Question

simoner · Answer

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anonymous · Answer

1) solve for y (using the equation of your.. erm.. shape, then find your bounds (your two x coord.)
2) find Mx: $$\int\limits_{a}^{b} P(1/2)(f(x))^2 dx$$
3) find My: $$\int\limits_{a}^{b}Pxf(x)dx$$
4) (X,Y)=(My/A,Mx/A) where A=$$\int\limits_{a}^{b} Pf(x)dx$$

simoner · Answer

yes but i am having trouble with the equation part

simoner · Answer

i don't know what the equation would be for the shape i was given.
can someone help me with that?

anonymous · Answer

Does it mention whether you are to focus on the semi-circle or angle? If it is both, you may have to combine the equations

simoner · Answer

it's both