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Find the moment of inertia (in $\mathrm{g} \cdot \mathrm{cm}^{2}$ ) and the radius of gyration (in $\mathrm{cm}$ ) with respect to the origin of each of the given arrays of masses located at the given points on the $x$ -axis.$$\begin{aligned}&564 \mathrm{g} \text { at }(-45.0,0), 326 \mathrm{g} \text { at }(-22.5,0), 720 \mathrm{g} \text { at }(15.4,0), 205 \mathrm{g}\\ &\text { at }(64.0,0) \end{aligned}$$

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 5

Moments of Inertia

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Finding moments of inertia…

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this problem, it's required toe plate moment of inertia about XX for a circle with the radius equal toe toe either Think, Felice Plate, you cleared I x for a dentist equal to one. Then calculate I i y And I note we can start boy needing i x So I x equal toe integration from negative to which is the radius to two and integration from negative four minus x square to route four minus x square for Why square do you? Why the yucks? So we can simply fly or solve it as integration from negative tool to two over three record full minus X squared Well, 4 3/2 DX and this should be equal to four by and from cemetery We can conclude that why is equal to Y X, which is equal to four boy, then I know he's some off my eggs And why? Why? So it will be equal toe a boy. Thank you

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