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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

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

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