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Center of Gravity Centroid

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... simple system composed of only one body , tow conditions must be satisfied (( as ... Thus the tow system will be equivalent. Fours in the two systems must ... – PowerPoint PPT presentation

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Title: Center of Gravity Centroid


1
Center of Gravity Centroid
2
To replace the system of particles \ bodies by a
simple system composed of only one body , tow
conditions must be satisfied (( as fas as Statics
is conserned )). Thus the tow system will be
equivalent.
3
Fours in the two systems must be
equed. Fy W wi
4
Moments in the two system munt be equal. Mx
Z W Zi wi Z
5
Similarly mz X
If wi guts smlle and sudlue , than wi
wi dwi W ( w)i
W ?dw similarly, X y . ,
Z.
6
C. For Petals Centroid X wi
Xi wi X Y
Z
7
C.G. for bodies X Y
. Z ..
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C.M. X Y .
Z . .
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Centeraid X , y .. , Z
.. V X
. A X
..
L
10
X A ? x d A y A ? y d A
11
?xd A frist moment of the are wrt 202 is ?
y d A
X- If the centrid of an are is located on a
coodinet axis ,then the first moment of the are
wrt that axin is ZERO
12
Symmery Talce Advantaye at
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