Ex. Kunde-vara-tenta-tal
Givet:N F
N F
kg m
kg m
1100 800
25 30
2 1 2 1
=
=
=
=
°
=
°
= 20 20
2 1
α α
m y
m x
m x
m x
a c b a
4 5 , 1 3 1
=
=
=
=
Sökt:
A och B Fig.
m1
m2
x a x b x c
s* α
α1
A B
Friläggning
α 1
α2
F1
F1y
F1x
A y A x G1
B
G2
F2
F2y
F2x
y a
G1
1 x x
G2
x x2
1 1
1
1 1
1
2 2
2
2 2
2 2 2
1 2 1
sin
* cos
* sin
* cos
*
* 10 2
*
α α α α
F F
F F
F F
F F
g m G
g m m G
y x y x
=
=
=
=
=
⎥⎦⎤
⎢⎣⎡
=
=
m y y
x x x x x
m x
x
x x x x
m x x
a
a b
a G G
c b G
4 2
5 , 4 1
2
2 2 2
2 1 1
1 2
=
=
⎟⎠
⎜ ⎞
⎝
⎛ + + −
=
=
=
+
=
=
=
=
Jämvikt:
0 : 1 + − 2 =
→ Fx Ax F x
0 : 1 + − 1+ − 2 + 2 =
↑ Fy Ay G B G F y
A :F1y*x1+G1*xG1−B*xB +G2*xG2−F2y*x2 −F2x*y2 =0 Krafter ska var positiva gör därför absolutbelopp
N F
F
Ax x x 44,7 :⇒ = 2 − 1 =
→
: N
x
y F x F x G x G x F
B
x y
G G
y* 1* 1 2* 2 2 * 2 | 2 |* 2 1565
1 + + − − =
A ⇒
B in i ↑:Ay =G1−B+G2−F2y−F1y =999N
N A
A A
A A
y x
x y a
a a
1000
|
|
| arctan| 180
2
2+ =
=
=
−
°
= β
β α
N F
N F
N F
N F
y y x x
843 274 707 752
2 1 2 1
=
=
−
=
=
N G
N G
250 300
2 1
=
=
