Mechanical Engineering Exam > Mechanical Engineering Questions > A 4-m-high, 5-m-wide rectangular plate blocks...
Start Learning for Free
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.?
Most Upvoted Answer
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep fr...
Solution:
Given:
Height of the rectangular plate, h = 4 m
Width of the rectangular plate, w = 5 m
Depth of the freshwater channel, d = 4 m
Assumption:
The plate is in static equilibrium.
Calculation:
Free Body Diagram:
A free body diagram of the rectangular plate is drawn below.
From the free body diagram, the forces acting on the plate are:
1. Weight of the plate, W = mg.
2. Reaction force at point A, RA.
3. Reaction force at point B, RB.
Equation of moment equilibrium:
Sum of the moments about point A must be zero since the plate is in static equilibrium.
RA × h + RB × (h/2) - W × (w/2) = 0
RA × 4 + RB × 2 - (5 × 4 × 9.81) / 2 = 0
RA × 4 + RB × 2 - 98.1 = 0
Equation of force equilibrium:
Sum of the forces in the y-direction must be zero since the plate is in static equilibrium.
RA + RB - W = 0
RA + RB - (20 × 9.81) = 0
RA + RB - 196.2 = 0
Solving the two equations simultaneously:
RA × 4 + RB × 2 - 98.1 = 0
RA + RB - 196.2 = 0
RA = 76.05 N
RB = 120.15 N
Therefore, the force exerted on the plate by the ridge is 120.15 N.
Conclusion:
The force exerted on the plate by the ridge is calculated to be 120.15 N.
Given:
Height of the rectangular plate, h = 4 m
Width of the rectangular plate, w = 5 m
Depth of the freshwater channel, d = 4 m
Assumption:
The plate is in static equilibrium.
Calculation:
Free Body Diagram:
A free body diagram of the rectangular plate is drawn below.
From the free body diagram, the forces acting on the plate are:
1. Weight of the plate, W = mg.
2. Reaction force at point A, RA.
3. Reaction force at point B, RB.
Equation of moment equilibrium:
Sum of the moments about point A must be zero since the plate is in static equilibrium.
RA × h + RB × (h/2) - W × (w/2) = 0
RA × 4 + RB × 2 - (5 × 4 × 9.81) / 2 = 0
RA × 4 + RB × 2 - 98.1 = 0
Equation of force equilibrium:
Sum of the forces in the y-direction must be zero since the plate is in static equilibrium.
RA + RB - W = 0
RA + RB - (20 × 9.81) = 0
RA + RB - 196.2 = 0
Solving the two equations simultaneously:
RA × 4 + RB × 2 - 98.1 = 0
RA + RB - 196.2 = 0
RA = 76.05 N
RB = 120.15 N
Therefore, the force exerted on the plate by the ridge is 120.15 N.
Conclusion:
The force exerted on the plate by the ridge is calculated to be 120.15 N.
Community Answer
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep fr...
Figure?
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.?
Question Description
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.?.
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.?.
Solutions for A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? defined & explained in the simplest way possible. Besides giving the explanation of
A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.?, a detailed solution for A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? has been provided alongside types of A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? theory, EduRev gives you an
ample number of questions to practice A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge.? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup