University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 11, Problem 11.52P
A Truck on a Drawbridge. 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 (Fig. P11.52). The draw-bridge is 40.0 m long and has a mass of 18.000 kg; its center of gravity is at its midpoint. The cement mixer, with driver, has mass 30,000 kg. 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. (a) What is the tension T in the cable when the drawbridge is held in this position? (b) What are the horizontal and vertical components of the force the hinge exerts on the span?
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11.52 · A Truck on a Drawbridge. 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 (Fig. P11.52). The draw-
bridge is 40.0 m long and has a mass of 18,000 kg; its center of
gravity is at its midpoint. The cement mixer, with driver, has mass
30,000 kg. 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. (a) What is the tension T in the cable
when the drawbridge is held in this position? (b) What are the
horizontal and vertical components of the force the hinge exerts
on the span?
Figure P11.52
70°
k100 m
40.0 m
30
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?
Q10
Chapter 11 Solutions
University Physics (14th Edition)
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