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6.29.
Model:
You can model the beam as a particle in static equilibrium.
Visualize:
Solve:
Using Newton’s first law, the equilibrium equations in vector and component form are:
()
net
1
2
G
net
1
2
G
net
1
2
G
0 N
0 N
xx
x
x
yy y
y
FT
T
F
T
F
T
F
=++ =
G
G
GG G
Using the freebody diagram yields:
11
2 2
1 1
2
2
G
sin
sin
0 N
cos
cos
0 N
TT
F
θθ
−+
=
+
−
=
The mathematical model is reduced to a simple algebraic system of two equations with two unknowns,
1
T
and
2
.
T
Substituting
12
20 ,
30 ,
=° =°
and
G
9800 N,
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at University of Georgia Athens.
 Fall '09
 geller
 Static Equilibrium

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