FLUID MECHANICS-EBOOK>I<
2nd Edition
ISBN: 2819480256061
Author: HIBBELER
Publisher: INTER PEAR
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Chapter 14, Problem 52P
To determine
The required diameter of the impeller.
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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.
please sketch a stress-strain diagram for a typical structural steel in tension and display all of the important features.
Chapter 14 Solutions
FLUID MECHANICS-EBOOK>I<
Ch. 14 - Prob. 1PCh. 14 - The axial flow pump produces a discharge of 0.095...Ch. 14 - Prob. 3PCh. 14 - Prob. 4PCh. 14 - Prob. 5PCh. 14 - Prob. 6PCh. 14 - Prob. 7PCh. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - Prob. 10P
Ch. 14 - Prob. 11PCh. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - Prob. 14PCh. 14 - The blades on the radial-flow pump rotate at 180...Ch. 14 - Prob. 16PCh. 14 - Prob. 17PCh. 14 - Prob. 18PCh. 14 - Prob. 19PCh. 14 - Prob. 20PCh. 14 - Prob. 21PCh. 14 - Prob. 22PCh. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - Prob. 25PCh. 14 - Water flows from a lake through a 300-m-long pipe...Ch. 14 - Prob. 27PCh. 14 - Prob. 28PCh. 14 - Prob. 29PCh. 14 - Prob. 30PCh. 14 - Prob. 31PCh. 14 - Prob. 32PCh. 14 - Prob. 33PCh. 14 - Prob. 34PCh. 14 - Prob. 35PCh. 14 - Prob. 36PCh. 14 - Prob. 37PCh. 14 - Prob. 38PCh. 14 - The blades of the Francis turbine rotate at 40...Ch. 14 - Prob. 40PCh. 14 - Prob. 41PCh. 14 - Water at T = 25°C is drawn from an underground...Ch. 14 - Water at T = 25°C is drawn from an underground...Ch. 14 - Water at 20°C is pumped from a lake into the tank...Ch. 14 - Prob. 45PCh. 14 - A radial-flow pump has a 6-in.-diameter impeller,...Ch. 14 - Prob. 47PCh. 14 - Prob. 48PCh. 14 - Prob. 49PCh. 14 - A radial flow pump whose 100-mm-diameter impeller...Ch. 14 - Prob. 51PCh. 14 - Prob. 52PCh. 14 - Prob. 53PCh. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - Prob. 56P
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- Problem 1 (30 Points) Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in both scenarios, there is one generalized coordinate, . R Scenario 1 R m R g Scenario 2 m HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the bowl (scenario 1), or the pivot point of the pendulum (scenario 2). Part I a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points) b) What can you say about the systems based on the Lagrangian? (2 points) c) Solve for the equations of motion for both systems. (8 points) Part II Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to determine the normal force acting on the mass. a)…arrow_forwardConsider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.arrow_forward(Read Image) (Answer: ω = 1.10 rad/sec CW)arrow_forward
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- . Where is a dew point analyzer installed to measure instrument air?(I found this question on the internet and am wondering what the correct answer is) A. AB. BC. CD. Darrow_forwardThe piston at the bottom of the stroke is 0% open. Which adjustment will change the zero setting to 5% open? ( I found this sample question on the internet and was wondering what the correct answer is out of interest) A.Slide component 2 towards the pivotB. Slide component 2 away from the pivot.C. Increase spring tension using adjustment 1.D. Decrease spring tension using adjustment 1.arrow_forward(read image) (Answer: vA = 4.57 ft/sec)arrow_forward
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