A loaded cement mixer drives onto an old drawbridge, where it stalls with its center of gravity three-quarters of the way across the span. The truck driver radios for help, sets the handbrake, and waits. Meanwhile, a boat approaches, so the drawbridge is raised by means of a cable attached to the end opposite the hinge (the figure (Figure 1)). The drawbridge is 40.0 mm long and has a mass of 18,000 kgkg; its center of gravity is at its midpoint. The cement mixer, with driver, has mass 30,000
A loaded cement mixer drives onto an old drawbridge, where it stalls with its center of gravity three-quarters of the way across the span. The truck driver radios for help, sets the handbrake, and waits. Meanwhile, a boat approaches, so the drawbridge is raised by means of a cable attached to the end opposite the hinge (the figure (Figure 1)). The drawbridge is 40.0 mm long and has a mass of 18,000 kgkg; its center of gravity is at its midpoint. The cement mixer, with driver, has mass 30,000 kgkg. When the drawbridge has been raised to an angle of 30 ∘∘ above the horizontal, the cable makes an angle of 70 ∘∘ with the surface of the bridge.
What is the tension TT in the cable when the drawbridge is held in this position?
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