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5 Nov 2021
Problem 34
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
5 Nov 2021
Given information
the shape of the vertical plate is given to be as follows:
Step-by-step explanation
Step 1.
Since the trapezoid plate is half dipped in water, the length of the trapezoid that coincides with the topmost layer of water is 
.
While the depth increases by 1 m, the width decreases by 1 m. So, at any depth h from the surface of water, the width w of the plate is given as follows:
So, the area 
of a thin horizontal strip of the plate of thickness dh at this depth h is 
.
The hydrostatic pressure at the depth h is 
. therefore, compute the force on this thin strip.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 8
- Problem 9
- Problem 10
- Problem 11b
- Problem 11b
- Problem 12
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 28a
- Problem 28b
- Problem 29a
- Problem 29b
- Problem 29c
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39b
- Problem 39c
- Problem 39d
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51a
- Problem 51b
- Problem 52a
- Problem 52b
- Problem 52c