kuliah statika - resultan analitis

13
1 0 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 1 2 3 4 7 6 5 11 10 9 8 -1 -2 -3 -4 -6 -5 P1 = 5 T (3 ,2 ) (6 ,6 ) P2 = 3 T (6 ,-4 ) (3 ,-4 ) A NALITIS

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Page 1: Kuliah Statika - Resultan Analitis

10 2 3 4 5 6 7 8- 1- 2- 3- 4- 5- 6

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 6

- 5

P1 = 5 T

( 3 , 2 )

( 6 , 6 )

P2 = 3 T( 6 , - 4 )( 3 , - 4 )

AN

AL

ITIS

Page 2: Kuliah Statika - Resultan Analitis

R = 4 T

AN

AL

ITIS

VS

GR

AF

IS

Py1 = 4 T

Px1 = 3 T

10 2 3 4 5 6 7 8- 1- 2- 3- 4- 5- 678

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 11

- 10

- 9

- 8

P1 = 5 T

P12

P ( x )3

- 3

y2

- 4

M o (x)6

12

( 6 , - 4 )( 3 , - 4 )

0 18

P123

P ( y )40

x33

M o- 12

0

4 - 12

R = Px + Py2 2

R = 0 + 42 2

R = 14

R = 4

y =M o (x) + M o (y)

P ( x )

y =18 - 12

0

y = - 1,50

60

=

x = -M o (x) + M o (y)

P ( y )

x = -18 - 12

4

x =

- 64

=

= P ( y ) P ( x )Arc tg

40Arc tg= = 90

( 3 , 2 )

( 6 , 6 )

P2 = 3 T( 6 , - 4 )( 3 , - 4 )

10 2 3 4 5 6 7 8- 1- 2- 3- 4- 5- 678

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 11

- 10

- 9

- 8

P1 = 5 T

( 3 , 2 )

( 6 , 6 )

P2 = 3 T

o

Page 3: Kuliah Statika - Resultan Analitis

AN

AL

ITIS

10 2 3 4 5 6 7 8- 1- 2

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 9

- 8

P1 = 5 T

( 3 , 2 )

( 6 , 6 )

P2 = 5 T

( 3 , - 7 )

( 6 , - 3 )

- 3- 4- 5- 6

P3 = 4 T( - 2 , 4 )( - 6 , 4 )

Page 4: Kuliah Statika - Resultan Analitis

10 2 3 4 5 6 7 8- 1- 2

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 9

- 8

P1 = 5 T

P12

P ( x )33

y2

- 7

M o (x)6

- 21

10 1

P123

P ( y )44

x33

M o (y)- 12- 12

8 - 24

R = Px + Py2 2

R = 10 + 82 2

R = 164

R = 12,81 T

y =M o (x)

P ( x )

y =110

y = 0,1

x = -M o (y)

P ( y )

x = -- 24

8

x =

= P ( y ) P ( x )Arc tg

810Arc tg= = 38,66

( 3 , 2 )

( 6 , 6 )

P2 = 5 T

( 3 , - 7 )

( 6 , - 3 )

10 2 3 4 5 6 7 8- 1- 2

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 9

- 8

P1 = 5 T

( 3 , 2 )

( 6 , 6 )

P2 = 5 T

( 3 , - 7 )

( 6 , - 3 )

AN

AL

ITIS

VS

GR

AF

IS

3

o

cb

a

a

b

c

P1 = 5 T

P2 = 5 T

- 3- 4- 5- 6- 3- 4- 5- 6

P3 = 4 TP3 = 4 T

P3 = 4 T

Resultan P

1+P2+P3

d

( - 2 , 4 )( - 6 , 4 )

Garis K

erja R

esultan P

1+P2+P3

3 4 4 16

0 - 2 0

d

( - 2 , 4 )( - 6 , 4 )

P X1 = 3 T

P Y1 = 4 T

P X2 = 3 T

P Y2 = 4 T

Page 5: Kuliah Statika - Resultan Analitis

10 2 3 4 5 6 7 8- 1- 2- 3- 4- 5- 678

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 11

- 10

- 9

- 8

P1 = 5 T

( 3 , 2 )

( 6 , 6 )

( 4 , - 1 )

(1 , - 5)

(- 1 , 7)

P2 = 5 T

( -5 , -6 ) ( -2 , -6 )

(- 4 , 7)

P3 = 3 T

P4 = 3 T

Page 6: Kuliah Statika - Resultan Analitis

10 2 3 4 5 6 7 8- 1- 2- 3- 4- 5- 678

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 11

- 10

- 9

- 8

P1 = 5 T

P12

P ( x )33

y2

- 5

M o (x)6

- 15

0 - 12

P123

P ( y )44

x31

M o- 12- 4

8 - 16

R = Px + Py2 2

R = 0 + 82 2

R = 64

R = 8 T ( )

y =M o (x) + M o (y)

P ( x )

y =-12 - 16

0

y = 3.5

-280

=

x = -M o (x) + M o (y)

P ( y )

x = --12 - 16

8

x =

288

=

= P ( y ) P ( x )Arc tg

80Arc tg= = 90

( 3 , 2 )

( 6 , 6 )

( 4 , - 1 )

(1 , - 5)

o

(- 1 , 7)

P2 = 5 T

( -5 , -6 ) ( -2 , -6 )

(- 4 , 7)

10 2 3 4 5 6 7 8- 1- 2- 3- 4- 5- 678

1

2

3

4

7

6

5

11

10

9

8

- 1

- 2

- 3

- 4

- 7

- 6

- 5

- 11

- 10

- 9

- 8

P1 = 5 T

( 3 , 2 )

( 6 , 6 )

(4 , - 1)

(1 , - 5)

(- 1 , 7)

P2 = 5 T

( -5 , -6 ) ( -2 , -6 )

(- 4 , 7)

P1 =

5 T

P2 =

5 T

P3 = 3 T

P4 = 3 T

P4 = 3 T P3 = 3 T

a

a

b

b

c

c

d

d

e

e

R =

8 T

R =

8 T

34

4

- 3- 3

P3 = 3 T

P4 = 3 T

7- 6

- 2118

0 - 1 00 - 2 0

a

-

Px1 = 3 T

Px2 = 3 T

Py1 = 4 T

Py2 = 4 T

AN

AL

ITIS

VS

GR

AF

IS

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