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

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Chapter1: Units, Trigonometry. And Vectors
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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
Transcribed Image Text: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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