Assume that a single-span suspension bridge such as the Golden Gate Bridge has the symmetrical configuration indicated in Fig. 12–79. Assume that the roadway is uniform over the length of the bridge and that each segment of the suspension cable provides the sole support for the roadway directly below it. The ends of the cable are anchored to the ground only, not to the roadway. What must the ratio of d 2 to d 1 be so that the suspension cable exerts no net horizontal force on the towers? Neglect the mass of the cables and the fact that the roadway isn’t precisely horizontal. FIGURE 12–79 Problems 64 and 65.
Assume that a single-span suspension bridge such as the Golden Gate Bridge has the symmetrical configuration indicated in Fig. 12–79. Assume that the roadway is uniform over the length of the bridge and that each segment of the suspension cable provides the sole support for the roadway directly below it. The ends of the cable are anchored to the ground only, not to the roadway. What must the ratio of d 2 to d 1 be so that the suspension cable exerts no net horizontal force on the towers? Neglect the mass of the cables and the fact that the roadway isn’t precisely horizontal. FIGURE 12–79 Problems 64 and 65.
Assume that a single-span suspension bridge such as the Golden Gate Bridge has the symmetrical configuration indicated in Fig. 12–79. Assume that the roadway is uniform over the length of the bridge and that each segment of the suspension cable provides the sole support for the roadway directly below it. The ends of the cable are anchored to the ground only, not to the roadway. What must the ratio of d2 to d1 be so that the suspension cable exerts no net horizontal force on the towers? Neglect the mass of the cables and the fact that the roadway isn’t precisely horizontal.
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5. Two identical, uniform beams of length 3 m and weighing 260 N each are
connected at one end by a frictionless hinge. A light horizontal crossbar, attached at the
midpoints of the beams maintains an angle 50° between the beams. The beams are
suspended from the ceiling by vertical wires so they form a V. See figure. (a) What force
does the crossbar exert on each beam? (b) Is the crossbar under compression or tension,
i.e. are the ends of the crossbar being pushed together or stretched farther apart? (c) What
force (magnitude and direction) does the hinge exert on each beam?
Crossbar
Hinge
1. (1) Three forces are applied to a tree sapling, as shown in
Fig. 12-45, to stabilize it. If FA = 385 N and FB = 475 N,
find Fe in magnitude and direction.
FB
FIGURE 12-45 FC
Problem 1.
FIGURE 12-46
Problem 2.
2. (1) Approximately what magnitude force, FM, must the
extensor muscle in the upper arm exert on the lower arm to
hold a 7.3-kg shot put (Fig. 12-46)? Assume the lower arm
has a mass of 2.3 kg and its CG is 12.0 cm from the elbow-joint
pivot.
2.5 cm
FM
-30.0 cm-
105°
Elbow
joint
FA
(24) Assuming the lower arm has a mass of 2.8 kg and its CG is 12 cm from the elbow-
joint pivot, how much force must the extensor muscle in the upper arm exert on
the lower arm to hold a 7.5 kg shot put (Fig. 12-7)? 11)
2.5 cm
F
M
A) 100 N
30.0 cm-
Elbow
joint
B) 750 N
C) 1500 N
D) 500 N
E) 1000 N
Chapter 12 Solutions
Physics for Scientists and Engineers with Modern Physics
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