EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 9780100257054
Author: CENGEL
Publisher: YUZU
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Chapter 16.6, Problem 52P
To determine
Will the fuel burn more totally at
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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 16 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
Ch. 16.6 - Write three different KPrelations for reacting...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - A reaction chamber contains a mixture of N2and N...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - Which element is more likely to dissociate into...Ch. 16.6 - Prob. 6PCh. 16.6 - Prob. 7PCh. 16.6 - Prob. 8PCh. 16.6 - Prob. 9PCh. 16.6 - Prob. 10P
Ch. 16.6 - Prob. 11PCh. 16.6 - 16–12 Determine the temperature at which 5 percent...Ch. 16.6 - 16–12 Determine the temperature at which 5 percent...Ch. 16.6 - Prob. 14PCh. 16.6 - Prob. 15PCh. 16.6 - Prob. 16PCh. 16.6 - Prob. 17PCh. 16.6 - Prob. 18PCh. 16.6 - Prob. 19PCh. 16.6 - Prob. 20PCh. 16.6 - Prob. 21PCh. 16.6 - Determine the equilibrium constant KP for the...Ch. 16.6 - Prob. 24PCh. 16.6 - Carbon monoxide is burned with 100 percent excess...Ch. 16.6 - Prob. 27PCh. 16.6 - Prob. 28PCh. 16.6 - Prob. 29PCh. 16.6 - Prob. 30PCh. 16.6 - Prob. 31PCh. 16.6 - A mixture of 3 mol of N2, 1 mol of O2, and 0.1 mol...Ch. 16.6 - Prob. 33PCh. 16.6 - Prob. 34PCh. 16.6 - Prob. 35PCh. 16.6 - Prob. 37PCh. 16.6 - Estimate KP for the following equilibrium reaction...Ch. 16.6 - Prob. 40PCh. 16.6 - What is the equilibrium criterion for systems that...Ch. 16.6 - Prob. 42PCh. 16.6 - Prob. 43PCh. 16.6 - Prob. 44PCh. 16.6 - Prob. 48PCh. 16.6 - Prob. 51PCh. 16.6 - Prob. 52PCh. 16.6 - Prob. 53PCh. 16.6 - Prob. 54PCh. 16.6 - Prob. 55PCh. 16.6 - Prob. 56PCh. 16.6 - Prob. 57PCh. 16.6 - Prob. 59PCh. 16.6 - Prob. 60PCh. 16.6 - Prob. 61PCh. 16.6 - Prob. 62PCh. 16.6 - Using the Henrys constant data for a gas dissolved...Ch. 16.6 - Prob. 65PCh. 16.6 - Prob. 66PCh. 16.6 - Prob. 67PCh. 16.6 - Prob. 68PCh. 16.6 - Prob. 69PCh. 16.6 - Prob. 70PCh. 16.6 - Prob. 71PCh. 16.6 - Prob. 72PCh. 16.6 - An oxygennitrogen mixture consists of 30 kg of...Ch. 16.6 - Prob. 74PCh. 16.6 - Prob. 75PCh. 16.6 - Prob. 76PCh. 16.6 - Prob. 77PCh. 16.6 - An ammoniawater absorption refrigeration unit...Ch. 16.6 - Prob. 79PCh. 16.6 - Prob. 81PCh. 16.6 - Prob. 82PCh. 16.6 - Prob. 83RPCh. 16.6 - Prob. 84RPCh. 16.6 - Prob. 85RPCh. 16.6 - Consider a glass of water in a room at 25C and 100...Ch. 16.6 - Prob. 87RPCh. 16.6 - 16–90 Propane gas is burned steadily at 1 atm...Ch. 16.6 - Prob. 91RPCh. 16.6 - Prob. 92RPCh. 16.6 - Prob. 93RPCh. 16.6 - Prob. 94RPCh. 16.6 - Prob. 95RPCh. 16.6 - A constant-volume tank contains a mixture of 1 mol...Ch. 16.6 - Prob. 101RPCh. 16.6 - Prob. 103RPCh. 16.6 - Prob. 104RPCh. 16.6 - Prob. 107RPCh. 16.6 - Prob. 108RPCh. 16.6 - Prob. 109FEPCh. 16.6 - Prob. 110FEPCh. 16.6 - Prob. 111FEPCh. 16.6 - Prob. 112FEPCh. 16.6 - Prob. 113FEPCh. 16.6 - Prob. 114FEPCh. 16.6 - Propane C3H8 is burned with air, and the...Ch. 16.6 - Prob. 116FEPCh. 16.6 - Prob. 117FEPCh. 16.6 - The solubility of nitrogen gas in rubber at 25C is...
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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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