Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...
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Q1: Apply appropriate solution method using math principles to prove that "the
pressure at a point in a fluid has the same magnitude in all directions". Support
your answer with sketch.
Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and
z-directions.
Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg
Az = y, Az], where y, and p are the specific weight and density of the fluid,
respectively. Az is the vertical distance. Support your answer with sketch.
Q3: From fluid mechanics science perspective, define the center of gravity and the
center of pressure.
Q4: Identify the hydrostatic force acting on the top surface of a submerged
rectangular plate by applying principles of engineering for the following cases: 1
tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with
sketch.
Q5: By applying principles of fluid mechanics science, define the "rigid-body"
and identify its features.
Q6: Formulate the issue and identify key variables to prove that
az
-p(g + a,)], where p is the density of the fluid. a, is acceleration in the z-
directions. Support your answer with sketch.
Q7: According to the rigid-body motion of fluids, distinguish the key properties
for the special cases: 1 Fluids at Rest, 2 Free Fall of a Fluid Body.
2
Transcribed Image Text:Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue and identify key variables to prove that az -p(g + a,)], where p is the density of the fluid. a, is acceleration in the z- directions. Support your answer with sketch. Q7: According to the rigid-body motion of fluids, distinguish the key properties for the special cases: 1 Fluids at Rest, 2 Free Fall of a Fluid Body. 2
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