Осean Marsh d = 9 ft 5.79 A freshwater marsh is drained to the ocean through an automatic tide gate that is 4 ft wide and 3 ft high. The gate is held by hinges located along its top edge at A and bears on a sill at B. At a given time, the water levels in the marsh and in the ocean are h = 6 ft and d = 9 ft, respectively. Determine the force exerted by the sill on the gate at B and the hinge reaction at A. (Specific weight of salt water = 64 lb/ft³.) h = 6 ft 3 ft B Fig. P5.79

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
**Figure Explanation and Problem Statement**

The image depicts a side view of a freshwater marsh connected to the ocean through an automatic tide gate. The diagram illustrates the following components:

- **Marsh and Ocean Water Levels**: The water level in the marsh is labeled as \( h = 6 \) feet, and the ocean water level is labeled as \( d = 9 \) feet.
- **Gate Dimensions and Positioning**: The tide gate has a width of 4 feet and a height of 3 feet. It is shown positioned between the marsh and the ocean, with hinges at the top edge marked by point \( A \), and a supporting sill at the bottom edge marked by point \( B \).
- **Depth Indicator**: The depth of the ocean beyond the gate is marked with an arrow indicating a depth of 9 feet.

**Problem Statement**

5.79 A freshwater marsh is drained to the ocean through an automatic tide gate that is 4 feet wide and 3 feet high. The gate is held by hinges located along its top edge at \( A \) and bears on a sill at \( B \). At a given time, the water levels in the marsh and in the ocean are \( h = 6 \) feet and \( d = 9 \) feet, respectively. Determine the force exerted by the sill on the gate at \( B \) and the hinge reaction at \( A \). (Specific weight of salt water = 64 lb/ft\(^3\)).
Transcribed Image Text:**Figure Explanation and Problem Statement** The image depicts a side view of a freshwater marsh connected to the ocean through an automatic tide gate. The diagram illustrates the following components: - **Marsh and Ocean Water Levels**: The water level in the marsh is labeled as \( h = 6 \) feet, and the ocean water level is labeled as \( d = 9 \) feet. - **Gate Dimensions and Positioning**: The tide gate has a width of 4 feet and a height of 3 feet. It is shown positioned between the marsh and the ocean, with hinges at the top edge marked by point \( A \), and a supporting sill at the bottom edge marked by point \( B \). - **Depth Indicator**: The depth of the ocean beyond the gate is marked with an arrow indicating a depth of 9 feet. **Problem Statement** 5.79 A freshwater marsh is drained to the ocean through an automatic tide gate that is 4 feet wide and 3 feet high. The gate is held by hinges located along its top edge at \( A \) and bears on a sill at \( B \). At a given time, the water levels in the marsh and in the ocean are \( h = 6 \) feet and \( d = 9 \) feet, respectively. Determine the force exerted by the sill on the gate at \( B \) and the hinge reaction at \( A \). (Specific weight of salt water = 64 lb/ft\(^3\)).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Buckling of Columns
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY