A traffic light weighing 115 N hangs from a cable tied to two other cables fastened to a support as in figure (a). The upper cables make angles of 836.0⁰ and 0 54.0 with the horizontal. These upper cables are not as strong as the vertical cable and will break if the tension in them exceeds 110 N. Does the traffic light remain hanging in this situation, or will one of the cables break? Ts 0₂ T₂ T, 9 0₂ 1, 7₂ b (a) A traffic light suspended by cables. (b) The free-body diagram for the traffic light. (c) The free-body diagram for the knot where the three cables are joined.

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Suppose the traffic light is hung so that the tensions T, and T, are both equal to 82.4 N. Find the new
angles they make with respect to the x axis. (By symmetry, these angles will be the same.)
x.
8=
Find all the components of the net force to decide what the angles must be to keep the traffic light
suspended without acceleration.
Transcribed Image Text:HINT Suppose the traffic light is hung so that the tensions T, and T, are both equal to 82.4 N. Find the new angles they make with respect to the x axis. (By symmetry, these angles will be the same.) x. 8= Find all the components of the net force to decide what the angles must be to keep the traffic light suspended without acceleration.
A traffic light weighing
115 N hangs from a
cable tied to two other
cables fastened to a
support as in figure (a).
The upper cables make
angles of 0.36.0°
and 0, 54.0 with the
horizontal. These upper
cables are not as strong
as the vertical cable and
will break if the tension
in them exceeds 110 N.
Does the traffic light
remain hanging in this
situation, or will one of
the cables break?
0₁
T₂
T,
7₁
0₁
0₂
1,
T₂
b
G
(a) A traffic light suspended by cables. (b) The free-body diagram for the traffic light. (c)
The free-body diagram for the knot where the three cables are joined.
Transcribed Image Text:A traffic light weighing 115 N hangs from a cable tied to two other cables fastened to a support as in figure (a). The upper cables make angles of 0.36.0° and 0, 54.0 with the horizontal. These upper cables are not as strong as the vertical cable and will break if the tension in them exceeds 110 N. Does the traffic light remain hanging in this situation, or will one of the cables break? 0₁ T₂ T, 7₁ 0₁ 0₂ 1, T₂ b G (a) A traffic light suspended by cables. (b) The free-body diagram for the traffic light. (c) The free-body diagram for the knot where the three cables are joined.
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