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Find the indicated moment of inertia or radius of gyration.Find the radius of gyration of a plate covering the first-quadrant region bounded by $y^{2}=1-x$ with respect to the $x$ -axis.

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 5

Moments of Inertia

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

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the moment of inertia. I said along the X coordinate this K times the integral of Y squared minus Y to the fourth. Dy With the limits beams during one. This be hey integral of Y squared his wife to the third of three minus the integral of negative one to the fourth. This negative watch. Yeah, massage With limits being giant. one that gives us to take over 15. Now we can find the mass of the solid using the same form as previously discussed. We have the integral of one minus Y squared. You are Again using the same limits which is there in one. This gives us K two K of the three. And then we could find our which is the square root of the the moment of inertia over the man. And that zero points for 47.

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