Find the moment about the x-axis of a wire of constant density that lies along The curve
𝑦 = √𝑥 from 𝑥 = 0 𝑡𝑜 𝑥 = 2
where
then
"M_x=\u03c1 \\int_0^2 \\frac 1 2 x dx=\\frac \u03c1 2 \\int_0^2 x dx=\\frac \u03c1 2 \\frac {x^2} 2 \\bigg|^2_0=\\frac \u03c1 2 \\frac 4 2=\u03c1"Answer: the moment about the x-axis is equal to the constant density: "M_x=\u03c1"
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