< is angle symbol
R is the resultant of the three forces A, B, and C, that is R = A+B+C If
A=A< 210, B= 100<20, C= 100<120, and R= R<195, use the component method to determine A and R.
ok so I broke them into components but have no idea how to find A and R..any help appreciated.
Ax= A cos 30= -?
Ay= A sin 30 = -?
Bx = 100 cos 20 = 93.9
By = 100 sin 20 = 34
Cx=100 sin 30= -50
Cy=100 cos 30= 86.6
Rx = R sin 15
Ry= R cos 15
where to begin...
I do not like the reduction of angles,
it is much too easy to lose the correct sign.
Ax = A cos(210) ; Ay = A sin(210)
Bx = 100 cos(020) ; By = 100 sin(020)
Cx = 100 cos(120) ; Cy = 100 sin(120)
======================================
Rx = R cos(195) ; Ry = R sin(195)
2 equations, 2 unknowns
-0.866 A + 93.969 -50.000 = -0.966 R
&
-0.500 A + 34.202 + 86.602 = -0.259 R
reduced:
-0.866 A + 43.969 = -0.966 R
-0.500 A + 120.804 = -0.259 R
&
-0.259(-0.866 A + 43.969) = -0.966(-0.500 A + 120.804 )
1 equation 1 unknown
(my response was toooo slow, need more coffee)