Question #74184, Physics / Mechanics | Relativity
The end A of a uniform rod AB of weight W is hinged a fixed point. The rod is held in
equilibrium in a horizontal position by means of a string attached to B and to a point C
vertically above A. The string is inclined at 60 degrees to the rod. Find the tension in the
string and the reaction of the hinge.
Solution
M A  0 ;
T sin60  AB  W 
T
AB
2
0;
W
2sin60
 Fx  0 ;
R Ax T cos60  0 ;
R Ax T cos60 
W cos60
2sin60
F y  0 ;
R Ay T sin60 W  0 ;

W
2tan60
R Ay W T sin60 W 
2
2
R A  R Ax
 R Ay

Answer: T 
W sin60 W
W2
4tan 60
W
2sin60
2
; RA 

2

W2
4

2
;
W 2 cot 2 60 W 2
4

4

W
2sin60
W
2sin60
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