Determine the moment of inertia with respect to the x axis for the shaded area shown (Figure 2)...

Question

Question

Determine the moment of inertia with respect to the x axis for the shaded area shown (Figure 2) . The dimension is a = 2.00m .

Answer 1

Answer #1

Second moment of inertia with respect to x-axis, I_xx=∫y²dA

y =√(r²- x²)

dA = xdx

therefore,

I_xx=∫(√(r²- x²))²*(x*dx) =∫(r²- x²)*x*dx =∫(xr²-x³)dx = (xr)²/2 - x⁴/4+ C

I_xx, (x=2m)= (2r)²/2 - 2⁴/4 = (2r²- 4) m⁴

answered by: Solean

Answer 2

Answer #2

post the image properly

answered by: Calvin Jackson

Answer 3

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