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13.4-13.5 Center of Mass and Moments of Inertia; Surface Area (Applications of Double integrals)

13.4-13.5 Center of Mass and Moments of Inertia; Surface Area (Applications of Double integrals). Find mass and center of mass of a planar lamina using a double integral Find moments of inertia using double integrals Use a double integral to find the area of a surface. Section 13.4.

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13.4-13.5 Center of Mass and Moments of Inertia; Surface Area (Applications of Double integrals)

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  1. 13.4-13.5 Center of Mass and Moments of Inertia; Surface Area(Applications of Double integrals) Find mass and center of mass of a planar lamina using a double integral Find moments of inertia using double integrals Use a double integral to find the area of a surface.

  2. Section 13.4 Mass, Center of Mass, and moment of inertia

  3. Recall from Calculus I

  4. An example where changing to polar coordinates is better!

  5. Second moment (moment of inertia) • Measures the tendency of matter to resist a change in rotational motion (Note: first moment measures resistance to change in a straight line)

  6. Sec. 13.5 Surface area

  7. Homework Pg. 969 #1-5a&b odd, 13pg. 976 # 1, 3, 7, 15

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