As depicted in the picture, water will be held by an inclined, rectangular gate AB that weighs 50 kN. It is hinged at A and sits on the ground at B, where a high-strength cable will be linked that is negligibly light. The 5-m long cable will be connected to a surface-floating, cylindrical buoy (SG = 0.20), measuring 2 meters in diameter and 1 meters in height. The gate should open automatically when the cylindrical buoy is completely immersed, according to the structure's owner. h 2 mo Cylindrical buoy 1m 5m a. Calculate the normal force at B if h is 4 m of water. Keep in mind that a cable can only support a tensile force when it is taut. b. How deep, h, should the water be for the gate to open by design? c. What is the tension in the cable when the gate is about to open? d. Will the gate open as intended? Include calculations to support your response. What advice would you give to fulfill the owner's wishes

As depicted in the picture, water will be held by an inclined, rectangular gate AB that weighs 50 kN. It is hinged at A and sits on the ground at B, where a high-strength cable will be linked that is negligibly light. The 5-m long cable will be connected to a surface-floating, cylindrical buoy (SG = 0.20), measuring 2 meters in diameter and 1 meters in height. The gate should open automatically when the cylindrical buoy is completely immersed, according to the structure's owner. h 2 mo Cylindrical buoy 1m 5m a. Calculate the normal force at B if h is 4 m of water. Keep in mind that a cable can only support a tensile force when it is taut. b. How deep, h, should the water be for the gate to open by design? c. What is the tension in the cable when the gate is about to open? d. Will the gate open as intended? Include calculations to support your response. What advice would you give to fulfill the owner's wishes

Name: As depicted in the picture, water will be held by an inclined,rectang
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Description: As depicted in the picture, water will be held by an inclined,rectangular gate AB that weighs 50 kN. It is hinged at A and sitson the ground at B, where a high-strength cable will be linkedthat is negligibly light. The 5-m long cable will be connect

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...

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