A 125-N sign is supported by two ropes. One rope pulls up and to the right 26.5° above the horizontal with a tension T1, and the other rope pulls up and to the left 51.5° above the horizontal with a tension T2, as shown in the figure. Find the tensions T1 and T2.
Weight of the sign = W = 125 N
Tension in the first rope = T1
Angle the first rope makes with the horizontal = 1 =
26.5o
Tension in the second rope = T2
Angle the second rope makes with the horizontal = 2 =
51.5o
Balancing the forces in the horizontal direction,
T1Cos1 =
T2Cos
2
T1Cos(26.5) = T2Cos(51.5)
T1 = 0.6956T2
Balancing the forces in the vertical direction,
T1Sin1 +
T2Sin
2 =
W
(0.6956)T2Sin(26.5) + T2Sin(51.5) = 125
T2 = 114.36 N
T1 = 0.6956T2
T1 = (0.6956)(114.36)
T1 = 79.55 N
Tension in the first rope = T1 = 79.55 N
Tension in the second rope = T2 = 114.36 N
A 125-N sign is supported by two ropes. One rope pulls up and to the right...
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1. The three ropes in the figure are tied to a small, very light
ring. Two of the ropes are anchored to walls at right angles, and
the third rope pulls as shown. What are T1and T2, the magnitudes of
the tension forces in the first two ropes?
A. T1=
B T2=
3. The two angled ropes used to support the crate in the figure
below can withstand a maximum tension of 1700N before they
break.
A. What is the...
A worker stands a distance
d = 0.250 m
from the left end of a beam as shown in the figure. The beam is
supported by three ropes. Find the tension in each rope (in N).
Assume the beam is uniform, with length L = 2.00 m and
mass 34.0 kg, and the weight of the worker is 710 N. (Due to the
nature of this problem, do not use rounded intermediate values in
your calculations—including answers submitted in
WebAssign.)...