1.Find the mass and the center of mass of the cone below assuming constant density po2.RSame cone geometry as above, but the density p(2) is known to be a linear function of 2,where z is the vertical coordinate measured upward from the base. If the density at z = 0 isPo, find the function p(2) if the center of mass is at z = h/3. Calculate the mass of this cone.[Hint: assume p(z) = po(1+kz/h), where k is an unknown constant to be determined.]

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1. Find the mass and the center of mass of the cone below assuming constant density po R

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

1.
Find the mass and the center of mass of the cone below assuming constant density po
2.
R
Same cone geometry as above, but the density p(2) is known to be a linear function of 2,
where z is the vertical coordinate measured upward from the base. If the density at z = 0 is
Po, find the function p(2) if the center of mass is at z = h/3. Calculate the mass of this cone.
[Hint: assume p(z) = po(1+kz/h), where k is an unknown constant to be determined.]

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