Centroides de figuras h é homogéneas
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Transcript of Centroides de figuras h é homogéneas
![Page 1: Centroides de figuras h é homogéneas](https://reader030.fdocument.pub/reader030/viewer/2022012304/584a2a7a1a28ab0b678b4800/html5/thumbnails/1.jpg)
Dpto. Física y Mecánica
Centroides de figuras h éhomogéneas
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OCW-UPM
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V ill d l it d LVarilla de longitud L
O G X
LG
Lx2
=2
OCW-UPM
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S i i f i d di RSemicircunferencia de radio RY
• G
2RG
2Ryπ
=
OCW-UPM
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Cuarto de circunferencia de radio RCuarto de circunferencia de radio RY
• GX
2R 2R
X
G2Rxπ
= G2Ryπ
=π
OCW-UPM
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OCW-UPM
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R á l d b B l HRectángulo de base B, altura HY
H • G
O X
BB
GBx2
=G
Hy2
=2 G 2OCW-UPM
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T iá l á l d b B l HTriángulo rectángulo de base B, altura HY
HH
• G
H
O XB
GBx3
= GHy3
=3 3
OCW-UPM
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Semicírculo de radio RSemicírculo de radio RY
• G
4RG
4Ry3π
=
OCW-UPM
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C d í l d di RCuarto de círculo de radio RY
• GX
4R 4R
X
G4Rx3π
= G4Ry3π
=3π
OCW-UPM
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OCW-UPM
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S i fi i fé i d di RSemisuperficie esférica de radio RZ
• G
RG
Rz2
=2
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S i f d di RSemiesfera de radio RZ
• G
Y
• G
3RG
3Rz8
=X
OCW-UPM
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Cili d d di R l HCilindro de radio R y altura H
Z
H• G
Y HR
X
Gz2
=
OCW-UPM
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C d di R l HCono de radio R y altura H
Z
HG
Hz4
=H • G4
Y
G
RX
OCW-UPM
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Pi á id d b d d d l d L lt HPirámide de base cuadrada de lado L y altura HZ
GHz4
=H • G 4G
L Y
X L
L
X
OCW-UPM