A uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath. The drawbridge weights 55000 N and is 15.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place.What is the tension in the cable?Find the magnitude and direction of the force the hinge exerts on the bridge.If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks?What is the angular speed of the drawbridge as it becomes horizontal?What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?

Given. W = 55000 N a = 38° L = 15 m l = 3.5 m Concept Torque balancing about pivot.

Answered: A uniform drawbridge must be held at a…

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 uniform drawbridge must be held at a 38^o angle above the horizontal to allow ships to pass underneath. The drawbridge weights 55000 N and is 15.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place.
- What is the tension in the cable?
- Find the magnitude and direction of the force the hinge exerts on the bridge.
- If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks?
- What is the angular speed of the drawbridge as it becomes horizontal?
- What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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