A uniform drawbridge must be held at a 41.0° angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 12.0 m long, and pivots about a hinge at its lower end. A cable is connected 3.95 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 38P: A uniform horizontal strut weighs 400.0 N. One end of the strut is attached to a hinged support the...
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A. What is the tension in the cable?

B. Find the magnitude of the force the hinge exerts on the bridge.
 
A uniform drawbridge must be held at a 41.0°
angle above the horizontal to allow ships to pass
underneath. The drawbridge weighs 45000 N, is
12.0 m long, and pivots about a hinge at its lower
end. A cable is connected 3.95 m from the hinge,
as measured along the bridge, and pulls
horizontally on the bridge to hold it in place.
Transcribed Image Text:A uniform drawbridge must be held at a 41.0° angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 12.0 m long, and pivots about a hinge at its lower end. A cable is connected 3.95 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place.
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