Finding the Radius of Gyration About Each Axis in Exercises 29-34, verify the given moment(s) of inertia and find and . Assume that each lamina has a density of gramper square centimeter. (These regions are common shapes use din engineering.)
Circle
For unlimited access to Homework Help, a Homework+ subscription is required.
Moments of Inertia In Exercises 37-40, use the following formulas for the moments of inertia about the coordinate axes of a surface lamina of density Ļ.
Verify that the moment of inertia of a conical shell of uniform density about its axis is , where m is the mass and a is the radius and height.
Using Cylindrical Coordinates In Exercises 23-28, use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure.
Assume that the cone has uniform density and show that the moment of inertia about the z-axis is
The part that you can't really see says let S have constantdensity K.