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 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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.72P
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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 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?
Express your answer in newtons.
 
 
What is the horizontal component of the force the hinge exerts on the span?
Express your answer in newtons
 
What is the vertical component of the force the hinge exerts on the span?
Express your answer in newtons.
 
 
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