Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 6, Problem 6.91P
To determine
Pressure drop in heat exchanger of triangular passages.
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Problem 2 (40 Points)
A particle of mass m is embedded at a distance a from the center of a massless circular disk of
radius r. The disk rolls without slipping down a plane inclined at an angle a with the horizontal.
A horizontal force of Ễ = −Fxî + Fyĵ resists motion of the disk down the plane by pushing on
the disk at the axle that runs through the center of the disk.
a) Find the kinetic energy T. (10 points)
b) Find the potential energy V. (10 points)
c) Write a position vector to the axle at the center of the wheel in terms of x and y. (10
points)
d) Using virtual work, find the applied force Q₁ that would go in Lagrange's Equations. DO
NOT WRITE OUT OR SOLVE LAGRANGES'S EQUATIONS. (10 points)
x
r
m
e
10
g
F
α
HINTS
1) Consider using the STATIONARY red xy frame a reference frame from which to draw
vectors
2) The red xy system DOES NOT move. It is stationary.
3) Consider that the disk rolls a distance of re down the ramp
Draw a counter balance circuit of a vertical cylinder.
using counter balance valve and external load.
Chapter 6 Solutions
Fluid Mechanics
Ch. 6 - Prob. 6.1PCh. 6 - The present pumping rate of crude oil through the...Ch. 6 - The Keystone Pipeline in the chapter opener photo...Ch. 6 - For flow of SAE 30 oil through a 5-cm-diameter...Ch. 6 - In flow past a body or wall, early transition to...Ch. 6 - P6.6 For flow of a uniform stream parallel to a...Ch. 6 - SAE 10W30 oil at 20°C flows from a tank into a...Ch. 6 - P6.8 When water at 20°C is in steady turbulent...Ch. 6 - A light liquid 950kg/m3 flows at an average...Ch. 6 - Water at 20°C flows through an inclined...
Ch. 6 - Water at 20°C flows upward at 4 m/s in a...Ch. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - P6.17 A capillary viscometer measures the time...Ch. 6 - P6.18 SAE 50W oil at 20°C flows from one tank to...Ch. 6 - Prob. 6.19PCh. 6 - The oil tanks in Tinyland are only 160 cm high,...Ch. 6 - Prob. 6.21PCh. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - Prob. 6.26PCh. 6 - Let us attack Prob. P6.25 in symbolic fashion,...Ch. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - A laminar flow element (LFE) (Meriam Instrument...Ch. 6 - SAE 30 oil at 20°C flows in the 3-cm.diametcr pipe...Ch. 6 - Prob. 6.33PCh. 6 - Prob. 6.34PCh. 6 - In the overlap layer of Fig. 6.9a, turbulent shear...Ch. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - P6.41 Two reservoirs, which differ in surface...Ch. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - P6.44 Mercury at 20°C flows through 4 m of...Ch. 6 - P6.45 Oil, SG = 0.88 and v = 4 E-5 m2/s, flows at...Ch. 6 - Prob. 6.46PCh. 6 - Prob. 6.47PCh. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.52PCh. 6 - Water at 2OC flows by gravity through a smooth...Ch. 6 - A swimming pool W by Y by h deep is to be emptied...Ch. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - P6.59 The following data were obtained for flow of...Ch. 6 - Prob. 6.60PCh. 6 - Prob. 6.61PCh. 6 - Water at 20°C is to be pumped through 2000 ft of...Ch. 6 - Prob. 6.63PCh. 6 - Prob. 6.64PCh. 6 - Prob. 6.65PCh. 6 - Prob. 6.66PCh. 6 - Prob. 6.67PCh. 6 - Prob. 6.68PCh. 6 - P6.69 For Prob. P6.62 suppose the only pump...Ch. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Prob. 6.73PCh. 6 - Prob. 6.74PCh. 6 - Prob. 6.75PCh. 6 - P6.76 The small turbine in Fig. P6.76 extracts 400...Ch. 6 - Prob. 6.77PCh. 6 - Prob. 6.78PCh. 6 - Prob. 6.79PCh. 6 - The head-versus-flow-rate characteristics of a...Ch. 6 - Prob. 6.81PCh. 6 - Prob. 6.82PCh. 6 - Prob. 6.83PCh. 6 - Prob. 6.84PCh. 6 - Prob. 6.85PCh. 6 - SAE 10 oil at 20°C flows at an average velocity of...Ch. 6 - A commercial steel annulus 40 ft long, with a = 1...Ch. 6 - Prob. 6.88PCh. 6 - Prob. 6.89PCh. 6 - Prob. 6.90PCh. 6 - Prob. 6.91PCh. 6 - Prob. 6.92PCh. 6 - Prob. 6.93PCh. 6 - Prob. 6.94PCh. 6 - Prob. 6.95PCh. 6 - Prob. 6.96PCh. 6 - Prob. 6.97PCh. 6 - Prob. 6.98PCh. 6 - Prob. 6.99PCh. 6 - Prob. 6.100PCh. 6 - Prob. 6.101PCh. 6 - *P6.102 A 70 percent efficient pump delivers water...Ch. 6 - Prob. 6.103PCh. 6 - Prob. 6.104PCh. 6 - Prob. 6.105PCh. 6 - Prob. 6.106PCh. 6 - Prob. 6.107PCh. 6 - P6.108 The water pump in Fig. P6.108 maintains a...Ch. 6 - In Fig. P6.109 there are 125 ft of 2-in pipe, 75...Ch. 6 - In Fig. P6.110 the pipe entrance is sharp-edged....Ch. 6 - For the parallel-pipe system of Fig. P6.111, each...Ch. 6 - Prob. 6.112PCh. 6 - Prob. 6.113PCh. 6 - Prob. 6.114PCh. 6 - Prob. 6.115PCh. 6 - Prob. 6.116PCh. 6 - Prob. 6.117PCh. 6 - Prob. 6.118PCh. 6 - Prob. 6.119PCh. 6 - Prob. 6.120PCh. 6 - Prob. 6.121PCh. 6 - Prob. 6.122PCh. 6 - Prob. 6.123PCh. 6 - Prob. 6.124PCh. 6 - Prob. 6.125PCh. 6 - Prob. 6.126PCh. 6 - Prob. 6.127PCh. 6 - In the five-pipe horizontal network of Fig....Ch. 6 - Prob. 6.129PCh. 6 - Prob. 6.130PCh. 6 - Prob. 6.131PCh. 6 - Prob. 6.132PCh. 6 - Prob. 6.133PCh. 6 - Prob. 6.134PCh. 6 - An airplane uses a pitot-static tube as a...Ch. 6 - Prob. 6.136PCh. 6 - Prob. 6.137PCh. 6 - Prob. 6.138PCh. 6 - P6.139 Professor Walter Tunnel needs to measure...Ch. 6 - Prob. 6.140PCh. 6 - Prob. 6.141PCh. 6 - Prob. 6.142PCh. 6 - Prob. 6.143PCh. 6 - Prob. 6.144PCh. 6 - Prob. 6.145PCh. 6 - Prob. 6.146PCh. 6 - Prob. 6.147PCh. 6 - Prob. 6.148PCh. 6 - Prob. 6.149PCh. 6 - Prob. 6.150PCh. 6 - Prob. 6.151PCh. 6 - Prob. 6.152PCh. 6 - Prob. 6.153PCh. 6 - Prob. 6.154PCh. 6 - Prob. 6.155PCh. 6 - Prob. 6.156PCh. 6 - Prob. 6.157PCh. 6 - Prob. 6.158PCh. 6 - Prob. 6.159PCh. 6 - Prob. 6.160PCh. 6 - Prob. 6.161PCh. 6 - Prob. 6.162PCh. 6 - Prob. 6.163PCh. 6 - Prob. 6.1WPCh. 6 - Prob. 6.2WPCh. 6 - Prob. 6.3WPCh. 6 - Prob. 6.4WPCh. 6 - Prob. 6.1FEEPCh. 6 - Prob. 6.2FEEPCh. 6 - Prob. 6.3FEEPCh. 6 - Prob. 6.4FEEPCh. 6 - Prob. 6.5FEEPCh. 6 - Prob. 6.6FEEPCh. 6 - Prob. 6.7FEEPCh. 6 - Prob. 6.8FEEPCh. 6 - Prob. 6.9FEEPCh. 6 - Prob. 6.10FEEPCh. 6 - Prob. 6.11FEEPCh. 6 - Prob. 6.12FEEPCh. 6 - Prob. 6.13FEEPCh. 6 - Prob. 6.14FEEPCh. 6 - Prob. 6.15FEEPCh. 6 - Prob. 6.1CPCh. 6 - Prob. 6.2CPCh. 6 - Prob. 6.3CPCh. 6 - Prob. 6.4CPCh. 6 - Prob. 6.5CPCh. 6 - Prob. 6.6CPCh. 6 - Prob. 6.7CPCh. 6 - Prob. 6.8CPCh. 6 - Prob. 6.9CPCh. 6 - A hydroponic garden uses the 10-m-long...Ch. 6 - It is desired to design a pump-piping system to...
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