Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure. Assume that the density of the cone is p(x, y, z) = k√√x² + y² and find the moment of inertia about the z-axis. h ro

Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure. Assume that the density of the cone is p(x, y, z) = k√√x² + y² and find the moment of inertia about the z-axis. h ro

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.49P: Determine the dimension b of the square cutout so that Ixy=0 for the region shown.

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

10-1

Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure.
Assume that the density of the cone is p(x, y, z) = k√√x² + y² and find the moment of inertia about the z-axis.
¹₂²
X
Z
h
2-4 (1-2)
ro

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