Vikas TU
Last Activity: 8 Years ago
let h be the height of cone then,
ycom of solid cone is h/4 (from base)
ycom of solid hemisphere is: 3r/8 (from base)
Given com for common structure should be at the centre of the base.
.i.e. (0,0)
Ycom = (Volumeof cone*ycom of cone + Volumeof Hemisphere*ycom of hemisphere)/Total Volume.
0 = (pi*r^2*h*h/4 + 2/3*pi*r^3*3r/8)/Total Volume)
Or
(pi*r^2*h*h/4 + 2/3*pi*r^3*3r/8) = 0
h^2/4 + 2/3*r^2*3/8 = 0
h^2/4 + r^2/4 = 0
h^2 + r^2 = 0
h^2 = -r^2
or
|h|^2 = |r|^2
(|h|/|r|)^2 = 1
or
|h|/|r| = 1
or
h/r = 1
hheight and radius can’t be negative.
