Question

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

Answer 1

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=\[\int\limits_{a}^{b} Pf(x)dx\]

Answer 2

yes but i am having trouble with the equation part

Answer 3

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

Answer 4

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

Answer 5

it's both