2 m Water F 3 m Ja A quarter-circle-shaped gate (Figure a), with a radius of 3 m and a width of 4 m (perpendicular to the paper), is fixed at the bottom at point O. The water depth on the left side is 2 m: (a) Using direct integration and the free-body diagram, find the total hydrostatic force on the gate in kN. What is the angle between the direction of the hydrostatic force and the vertical axis? (b) Find the horizontal distance between the gate's center of gravity and point O in meters. Given that the gate weighs 80 kN, what force F must be applied at the top of the gate to prevent it from rotating?
2 m Water F 3 m Ja A quarter-circle-shaped gate (Figure a), with a radius of 3 m and a width of 4 m (perpendicular to the paper), is fixed at the bottom at point O. The water depth on the left side is 2 m: (a) Using direct integration and the free-body diagram, find the total hydrostatic force on the gate in kN. What is the angle between the direction of the hydrostatic force and the vertical axis? (b) Find the horizontal distance between the gate's center of gravity and point O in meters. Given that the gate weighs 80 kN, what force F must be applied at the top of the gate to prevent it from rotating?
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
Related questions
Question
do fast
Transcribed Image Text:2 m
Water
F
3 m
Ja
A quarter-circle-shaped gate (Figure a), with a radius of 3 m and a width of 4 m (perpendicular
to the paper), is fixed at the bottom at point O. The water depth on the left side is 2 m: (a) Using
direct integration and the free-body diagram, find the total hydrostatic force on the gate in kN.
What is the angle between the direction of the hydrostatic force and the vertical axis? (b) Find
the horizontal distance between the gate's center of gravity and point O in meters. Given that
the gate weighs 80 kN, what force F must be applied at the top of the gate to prevent it from
rotating?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Understanding Business
Management
ISBN:
9781259929434
Author:
William Nickels
Publisher:
McGraw-Hill Education
Management (14th Edition)
Management
ISBN:
9780134527604
Author:
Stephen P. Robbins, Mary A. Coulter
Publisher:
PEARSON
Spreadsheet Modeling & Decision Analysis: A Pract…
Management
ISBN:
9781305947412
Author:
Cliff Ragsdale
Publisher:
Cengage Learning
Understanding Business
Management
ISBN:
9781259929434
Author:
William Nickels
Publisher:
McGraw-Hill Education
Management (14th Edition)
Management
ISBN:
9780134527604
Author:
Stephen P. Robbins, Mary A. Coulter
Publisher:
PEARSON
Spreadsheet Modeling & Decision Analysis: A Pract…
Management
ISBN:
9781305947412
Author:
Cliff Ragsdale
Publisher:
Cengage Learning
Management Information Systems: Managing The Digi…
Management
ISBN:
9780135191798
Author:
Kenneth C. Laudon, Jane P. Laudon
Publisher:
PEARSON
Business Essentials (12th Edition) (What's New in…
Management
ISBN:
9780134728391
Author:
Ronald J. Ebert, Ricky W. Griffin
Publisher:
PEARSON
Fundamentals of Management (10th Edition)
Management
ISBN:
9780134237473
Author:
Stephen P. Robbins, Mary A. Coulter, David A. De Cenzo
Publisher:
PEARSON