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BY- NISHANT KUMAR
SEC- 3A
ROLL NO-25
 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.
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.
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
 X̅=b/2
 Y̅=d/2
 FROM APEX=2H/3
 FROM BASE=H/3
 Y̅=4R/3Π
 X̅=4R/3Π
 Y̅=4R/3Π
 Y̅=0
 X̅=2/3*Rsinθ/θ
 X̅=3A/4
 Y̅=3H/10
Centroid
Centroid
Centroid
Centroid

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Centroid