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

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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
B
1
1m
60°
5 m
A
1
T
2 m
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
Transcribed Image Text: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 B 1 1m 60° 5 m A 1 T 2 m 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
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