Determine the center of mass of a uiform cone of height h and radius R, with its axis pointing along z. (Hint: use the symmetry about the z axis. What is the mass dm of a thin disk o thickness dz at height z as shown in the drawing? How is r/z related to R/h? Remember to use M = f dm.) R dz dm IN

Determine the center of mass of a uiform cone of height h and radius R, with its axis pointing along z. (Hint: use the symmetry about the z axis. What is the mass dm of a thin disk o thickness dz at height z as shown in the drawing? How is r/z related to R/h? Remember to use M = f dm.) R dz dm IN

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 73P: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and...

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Question

Determine the center of mass of a uniform cone of height h and radius R, with its axis pointing
along z. (Hint: use the symmetry about the z axis. What is the mass dm of a thin disk of
thickness dz at height z as shown in the drawing? How is r/z related to R/h? Remember to
use M = f dm.)
T/2
R.
dz
h
dm

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