Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2, Problem 2.2P
For the two-dimensional stress field shown in Fig. P2.1 suppose that
Compute (a) the shear stress
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2) In a static fluid
(b) fluid pressure is zero (c) linear deformation is small
(e) viscosity is nil.
(d) only normal stresses can exist
(a) resistance to shear stress is small
(b) A horizontal line PQRS is 14 m long as shown in Fig. 1, where PQ= 5m,
QR= 4m, RS= 5m. Forces of 1000 N, 1500 N, 600 N and 1500 N act at P, Q,
R and S respectively with downward direction. The lines of action of these
forces make angles of 90', 60', 45 and 30 respectively with PS. Find the
magnitude, direction and position of the resultant force
1000 N
1500 N
6 00 N
1 500 N
90
e60
R 45
Figure 1
5m
4 m
5 m
3. The stress tensor of a fluid in motion is given by
-P T1 T2
-P 0
T = T1
T2
0 -P]
where P, ti and t2 are known.
(a) Find an expression to calculate the force exerted by the fluid on surfaces with surface area A
that are perpendicular to the unit vectors
(a.1) n = ei
√2
√2
(a.2) n = ²е₁ + ¹²е₂
(b) What are the normal stresses acting on the two surfaces specified above?
Chapter 2 Solutions
Fluid Mechanics
Ch. 2 - Prob. 2.1PCh. 2 - For the two-dimensional stress field shown in Fig....Ch. 2 - A vertical, clean, glass piezometer tube has an...Ch. 2 - P2.4 Pressure gages, such as the bourdon gage in...Ch. 2 - Quito, Ecuador, has an average altitude of 9350...Ch. 2 - Prob. 2.6PCh. 2 - La Paz, Bolivia, is at an altitude of...Ch. 2 - P2.8 Suppose, which is possible, that there is a...Ch. 2 - A storage tank, 26 ft in diameter and 36 ft high,...Ch. 2 - P2.10 A large open tank is open to sea-level...
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - The system in Fig. P2.18 is at 20°C. If...Ch. 2 - Prob. 2.19PCh. 2 - The hydraulic jack in Fig. P2.20 is filled with...Ch. 2 - At 20°C gage A reads 350 kPa absolute. What is the...Ch. 2 - The fuel gage for a gasoline tank in a car reads...Ch. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - P2.27 Conduct an experiment to illustrate...Ch. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - Prob. 2.30PCh. 2 - In Fig. P2.31 all fluids arc at 20°C. Determine...Ch. 2 - For the inverted manometer of Fig. P2.32, all...Ch. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Water flows upward in a pipe slanted at 30°, as in...Ch. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - If the pressure in container A in Fig. P2.38 is...Ch. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - P2.41 The system in Fig. P2.41 is at 20°C....Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Prob. 2.45PCh. 2 - In Fig. P2.46 both ends of the manometer are open...Ch. 2 - Prob. 2.47PCh. 2 - The system in Fig. P2.4H is open to 1 atm on the...Ch. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Gate AB in Fig. P2.51 is 1.2 m long and 0.8 m into...Ch. 2 - Example 2.5 calculated the force on plate AB and...Ch. 2 - Prob. 2.53PCh. 2 - Prob. 2.54PCh. 2 - Gate AB in Fig. P2.55 is 5 ft wide into the paper,...Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58PCh. 2 - Gate AB has length L and width b into the paper,...Ch. 2 - Prob. 2.60PCh. 2 - Gale AB in Fig. P2.61 is homogeneous mass of 180...Ch. 2 - Gale AB in Fig. P2.62 is 15 ft long and 8 ft wide...Ch. 2 - The tank in Fig. P2.63 has a 4-cm-diameter plug at...Ch. 2 - Prob. 2.64PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - Prob. 2.67PCh. 2 - P2.68 Isosceles triangle gate AB in Fig. P2.68 is...Ch. 2 - P2.69 Consider the slanted plate AB of length L in...Ch. 2 - Prob. 2.70PCh. 2 - Prob. 2.71PCh. 2 - Prob. 2.72PCh. 2 - P2.73 Gate AB is 5 ft wide into the paper and...Ch. 2 - Prob. 2.74PCh. 2 - Prob. 2.75PCh. 2 - Prob. 2.76PCh. 2 - P2.77 The circular gate ABC in Fig. P2.77 has l-m...Ch. 2 - Prob. 2.78PCh. 2 - Prob. 2.79PCh. 2 - Prob. 2.80PCh. 2 - Prob. 2.81PCh. 2 - Prob. 2.82PCh. 2 - Prob. 2.83PCh. 2 - Prob. 2.84PCh. 2 - P2.85 Compute the horizontal and vertical...Ch. 2 - Prob. 2.86PCh. 2 - The bottle of champagne (SG = 0.96) in Fig. P2.87...Ch. 2 - Prob. 2.88PCh. 2 - Prob. 2.89PCh. 2 - The lank in Fig. P2.90 is 120 cm long into the...Ch. 2 - The hemispherical dome in Fig. P2.91 weighs 30 kN...Ch. 2 - A 4-m-diameter water lank consists of two half...Ch. 2 - Prob. 2.93PCh. 2 - Prob. 2.94PCh. 2 - Prob. 2.95PCh. 2 - Prob. 2.96PCh. 2 - Prob. 2.97PCh. 2 - Prob. 2.98PCh. 2 - The mega-magnum cylinder in Fig. P2.99 has a...Ch. 2 - Pressurized water fills the tank in Fig, P2.100....Ch. 2 - Prob. 2.101PCh. 2 - Prob. 2.102PCh. 2 - Prob. 2.103PCh. 2 - Prob. 2.104PCh. 2 - P2.105 it is said that Archimedes discovered the...Ch. 2 - Prob. 2.106PCh. 2 - Prob. 2.107PCh. 2 - P2.108 A 7-cm-diameter solid aluminum ball (SG =...Ch. 2 - Prob. 2.109PCh. 2 - Prob. 2.110PCh. 2 - P2.111 A solid wooden cone (SG = 0.729) floats in...Ch. 2 - The uniform 5-m-long round wooden rod in Fig....Ch. 2 - Prob. 2.113PCh. 2 - Prob. 2.114PCh. 2 - P2.115 The 2-in by 2-in by 12-ft spar buoy from...Ch. 2 - Prob. 2.116PCh. 2 - The solid sphere in Fig. P2.117 is iron ( SG7.9 )....Ch. 2 - Prob. 2.118PCh. 2 - Prob. 2.119PCh. 2 - Prob. 2.120PCh. 2 - Prob. 2.121PCh. 2 - Prob. 2.122PCh. 2 - Prob. 2.123PCh. 2 - Prob. 2.124PCh. 2 - Prob. 2.125PCh. 2 - Prob. 2.126PCh. 2 - Prob. 2.127PCh. 2 - Prob. 2.128PCh. 2 - Prob. 2.129PCh. 2 - Prob. 2.130PCh. 2 - Prob. 2.131PCh. 2 - Prob. 2.132PCh. 2 - Prob. 2.133PCh. 2 - Prob. 2.134PCh. 2 - P2.135 Consider a homogeneous right circular...Ch. 2 - Prob. 2.136PCh. 2 - Prob. 2.137PCh. 2 - Prob. 2.138PCh. 2 - P2.139 The tank of liquid in Kg. P2.139...Ch. 2 - P2.140 The U-tube in Fig, P2.140 is moving to the...Ch. 2 - The same tank from Prob. P2.139 is now moving with...Ch. 2 - Prob. 2.142PCh. 2 - Prob. 2.143PCh. 2 - Prob. 2.144PCh. 2 - A fish tank 14 in deep by 16 by 27 in is to be...Ch. 2 - Prob. 2.146PCh. 2 - Prob. 2.147PCh. 2 - Prob. 2.148PCh. 2 - Prob. 2.149PCh. 2 - Prob. 2.150PCh. 2 - Prob. 2.151PCh. 2 - P2.152 A 16-cm-diamctcr open cylinder 27 cm high...Ch. 2 - Prob. 2.153PCh. 2 - Prob. 2.154PCh. 2 - Prob. 2.155PCh. 2 - Prob. 2.156PCh. 2 - Prob. 2.157PCh. 2 - Prob. 2.158PCh. 2 - Prob. 2.159PCh. 2 - Prob. 2.160PCh. 2 - Prob. 2.161PCh. 2 - Prob. 2.1WPCh. 2 - Prob. 2.2WPCh. 2 - W2.3 Consider a submerged curved surface that...Ch. 2 - Prob. 2.4WPCh. 2 - Prob. 2.5WPCh. 2 - W2.6 Consider a balloon of mass m floating...Ch. 2 - Prob. 2.7WPCh. 2 - W2.8 Repeat your analysis of Prob. W2.7 to let the...Ch. 2 - Prob. 2.9WPCh. 2 - Prob. 2.1FEEPCh. 2 - FE2.2 On a sea-level standard day, a pressure...Ch. 2 - Prob. 2.3FEEPCh. 2 - In Fig, FE2,3, if the oil in region B has SG = 0,8...Ch. 2 - Prob. 2.5FEEPCh. 2 - Prob. 2.6FEEPCh. 2 - Prob. 2.7FEEPCh. 2 - Prob. 2.8FEEPCh. 2 - Prob. 2.9FEEPCh. 2 - Prob. 2.10FEEPCh. 2 - Prob. 2.1CPCh. 2 - Prob. 2.2CPCh. 2 - Prob. 2.3CPCh. 2 - Prob. 2.4CPCh. 2 - Prob. 2.5CPCh. 2 - Prob. 2.6CPCh. 2 - Prob. 2.7CPCh. 2 - Prob. 2.8CPCh. 2 - Prob. 2.9CPCh. 2 - Prob. 2.1DPCh. 2 - Prob. 2.2DPCh. 2 - The Leary Engineering Company (see Popular...
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