Lifting cable danger. Cranes are used to lift steel beams at construction sites (Figure a). Let's look at the danger in such a lift for a beam with length L = 12.7 m, a square cross-section with edge length w = 0.464 m, and density p = 7900 kg/m³. The main cable from the crane is attached to two short cables of length h = 7.00 m symmetrically attached to the beam at distance d from the midpoint (Figure b). (a) What is the tension Tmain in the main cable when the beam is lifted at constant speed? What is the tension Tshort in each short cable if d is (b) 1.60 m, (c) 4.24 m, and (d) 5.91 m? (e) As d increases, what happens to the danger of the short cables snapping? (a) h Main cable L (b) h Beam |dd|

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Chapter1: Units, Trigonometry. And Vectors
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Lifting cable danger. Cranes are used to lift steel beams at construction sites (Figure a). Let's look at
the danger in such a lift for a beam with length L = 12.7 m, a square cross-section with edge length w
= 0.464 m, and density p = 7900 kg/m³. The main cable from the crane is attached to two short
cables of length h = 7.00 m symmetrically attached to the beam at distance d from the midpoint
(Figure b). (a) What is the tension Tmain in the main cable when the beam is lifted at constant speed?
What is the tension Tshort in each short cable if d is (b) 1.60 m, (c) 4.24 m, and (d) 5.91 m? (e) As d
increases, what happens to the danger of the short cables snapping?
(a)
h
Main cable
L
(b)
h
Beam
|dd|
Transcribed Image Text:Lifting cable danger. Cranes are used to lift steel beams at construction sites (Figure a). Let's look at the danger in such a lift for a beam with length L = 12.7 m, a square cross-section with edge length w = 0.464 m, and density p = 7900 kg/m³. The main cable from the crane is attached to two short cables of length h = 7.00 m symmetrically attached to the beam at distance d from the midpoint (Figure b). (a) What is the tension Tmain in the main cable when the beam is lifted at constant speed? What is the tension Tshort in each short cable if d is (b) 1.60 m, (c) 4.24 m, and (d) 5.91 m? (e) As d increases, what happens to the danger of the short cables snapping? (a) h Main cable L (b) h Beam |dd|
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