Question

Surface Mass Density (σ) of a disc is 2r as shown in figure, where r is the radius of the semicircular disc. Find the Center of the mass (COM)...

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Answer 1

Explanation:

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$total \: moment \: of \: inertia \: l = l1 + l2 \\ \\ l1 = \frac{m1( {2r}^{2}) }{2} \\ \\ l1 = \frac{sigma\pi4 {r.4 {r}^{2} }^{} }{2} \\ \\ \implies \: 8\pi \: sigma {r}^{4} \\ \\ to \: calculate \: l2$

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Answer 2

Answer:

$8\pi$

this is the answer