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23 Nov 2019
1. Find the height of the center of mass of a uniform
right circular cone of height h that is balanced on its tip.
(Hint: Break the cone into disks at a height y, with
thickness dy, and mass of = dm dV ? . Find the radius of
the disk in terms of the height h, the radius of the base,
and the height y. The volume of a cone is V = (1/3) Ah,
where A is the area of the base of the cone.)
Answer should equal: (3/4)h
1. Find the height of the center of mass of a uniform
right circular cone of height h that is balanced on its tip.
(Hint: Break the cone into disks at a height y, with
thickness dy, and mass of = dm dV ? . Find the radius of
the disk in terms of the height h, the radius of the base,
and the height y. The volume of a cone is V = (1/3) Ah,
where A is the area of the base of the cone.)
Answer should equal: (3/4)h
Trinidad TremblayLv2
16 May 2019