formulario

Estática 2022-1
G15
Fr = Fx 2 + Fy 2 − 2 Fx Fy cos  r
Fx

=
Fy

=
r = ( xb − xa ) i + ( yb − ya ) j + ( zb − za ) k
Fr

Fx =  F cos 
Fy =  F sin 
Fr = Fx + Fy
 A B

 AB 
 = cos −1 
Aaa = A ua
2
 Fy 

 Fx 
 = tan −1 
A = Axi + Ay j + Azk
A = Axi + Ay j + Azk
uA =
uA =
A
A
Axi + Ay j + Azk
Ax 2 + Ay 2 + Az 2
A = Au A
Ax
A
Ay
cos  y =
A
Az
cos  z =
A
cos  x =
A B = AB cos 
A B = Ax Bx + Ay By + Az Bz
sin  = co / h
cos  = ca / h
tan  = co / ca
2

r
( x − x ) i + ( yb − ya ) j + ( zb − za ) k
F = Fur = F   = F  b a
2
2
2

r
 ( xb − xa ) + ( yb − ya ) + ( zb − za )



