Centroide

P.1
Figura

A

x

y

Ax

Ay

Rectángulo

30

3

5.5

90

165

triangulo

9

2

2

18

18

108

183

y
6

5

∑A = 39 pulg.
x = ∑ xA /A = 108/39 = 2.7693

y = ∑ yA /A = 183/39 = 4.69

x

P.2
Figura

A

x

y

Ax

Ay

Rectángulo

30

3

2.5

90

75

triangulo

9

2

6

18

54

108

129

y

3

∑A =39 pulg.
5

x = ∑ xA /A = 108/39 = 2.769
y = ∑ yA /A = 129/39 = 3.308

6

x

P.3
Figura

A

x

y

Ax

Ay

Rectángulo

36

3

6

108

0

Semicirculo

-8π(2+16/3π)=a

0

-8πa

0

15.07

0

y

∑A = 39 pulg.
2

x = ∑ xA /A = 15.07/39 = 1.3

6

y = ∑ yA /A = 0/39 = 0

4

x

P.4
Figura

A

x

y

Ax

Ay

Rectángulo a

80.5

4

4

32

Rectángulo b

4

3

0.5

12

2

16

34

y
1

∑A = 12 pulg.
a
8

x = ∑ xA /A = 16/12 = 1.33
b
5

1

x

y = ∑ yA /A = 34/12 = 2.125

Figura

yAx

Ay

3

-2/3

4.5

-8

13.5

3

2/3

4.5

8

13.5

S3

7

-2

1.75

-14

12.25

S4

7

2

1.75

14

12.25

S5

3

-0.5

0.75

-1.52.25

S6

3

0.5

0.75

1.5

2.25

0

S1

x

S2

y

A

S1

P.5

56

S6

S2

S5
S3

∑A = 26 pulg².

S4

x

x = ∑ xA /A = 0/26 = 0
y = ∑ yA /A = 56/26 = 2.15P.6
Figura

A

x

y

Ax

Ay

Semicirculo

-8 π

0

16/3 π

0

-128/3

Semicirculo

18 π

0

24/3 π

0

432/3

101.33

y

∑A = 10π
4
6

x
x = ∑ xA /A =0/10π = 0
y = ∑ yA /A = 101.33/26 = 3.23

Figura

x

y

Ax

Ay

-32π/3

8/π

8√3/π

-85.3

-147.8

Sect. Circ. izq.

-32π/3

-8/π

8√3/π

85.3

-147.8

Trianguloder.

8√3

4√3/3

8/3

32

36.95

Triangulo izq.

8√3

-4√3/3

8/3

-32

36.95

Area circ. der.

50π

40/3π

0

2000/3

0

Area circ. izq.

50π

40/3π

0...