The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the horizontal component FH of the hydrostatic force acting on the curved surface AB if k-3, R-0.5 m, p= 1000 kg/m³ and the gravitational acceleration g -9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the left. Geometric properties of a half-parabola are also given below.

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
Topic Video
Question
The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the
plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the
horizontal component F# of the hydrostatic force acting on the curved surface AB if k= 3, R = 0.5 m, p = 1000 kg/m³ and the
gravitational acceleration g = 9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the
left. Geometric properties of a half-parabola are also given below.
FH 1. [17.8419375, 18.9455625 kN.
4R
h
m/00
b
Liquid
Р
X
Half-Parabola
BR
9
A
KR
A = bh
|xc=bh³
yy,chb³
=
15
Transcribed Image Text:The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the horizontal component F# of the hydrostatic force acting on the curved surface AB if k= 3, R = 0.5 m, p = 1000 kg/m³ and the gravitational acceleration g = 9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the left. Geometric properties of a half-parabola are also given below. FH 1. [17.8419375, 18.9455625 kN. 4R h m/00 b Liquid Р X Half-Parabola BR 9 A KR A = bh |xc=bh³ yy,chb³ = 15
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Fluid Statics
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