this is a ppt on centroid,covering centroid of regular figures and there is a example of a composite figure,it has applications,uses of centroid,it is use ful for engineering students,it has 15 slides.
by -nishant kumar.
nk18052001@gmail.com
2. Centroid is a point where whole area of a plane
lamina is assumed to act .
It is a point where entire length ,area and volume
is supposed to be concentrated.
3. Centroid indicate the centre of mass of a
uniform solid.
lots of construction applications and
engineering applications to design things so that
minimal stress and energy is used to stabilize a
component.
4. Consider a plate of thickness t
Weight of any elemental portion be wi acting at
point(xi,yi).let W be the total weight of the
plate acting at the point (X̅,Y̅)
x=∑Wixi/W
y=∑Wiyi/W
Let Ai be the area of the i
th
element of the plate of
uniform thickness in the
plate,and Ɣ be the
density of each elemental
portion .
THEN
X=∑Aixi/A
Y=∑Aiyi/A