Figure Q2 shows the arrangement of the compressor, turbine and generator in a thermal power plant. Assume that the mass moment of inertia J1 = J2= J3 = (T + 3)I, and torsional stiffness of shaft ka = ka = kG = (U + 10)š. Use T- land U = 8 (a) Sketch the free-body diagram of the shaft system based on Figure Q2 by including the direction of forces involved in the system. (b) Determine the equation of motion of the system using the Newton's second law in the form of (J]6 + [k•]@ = [M].

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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Ma, O1
Mr2, 02
Me3, O3
Compressor
Turbine
Generator
J3
ke2
kes
Figure Q2
Transcribed Image Text:Ma, O1 Mr2, 02 Me3, O3 Compressor Turbine Generator J3 ke2 kes Figure Q2
Q2 Figure Q2 shows the arrangement of the compressor, turbine and generator in a
thermal power plant. Assume that the mass moment of inertia J = J2= J; = (T + 3)L
and torsional stiffness of shaft ka = k2 = ks = (U + 10)k.
Use
T= land U = 8
(a)
Sketch the free-body diagram of the shaft system based on Figure Q2 by
including the direction of forces involved in the system.
(b) Determine the equation of motion of the system using the Newton's second law
in the form of [/]6 + [k]0 = [M].
Transcribed Image Text:Q2 Figure Q2 shows the arrangement of the compressor, turbine and generator in a thermal power plant. Assume that the mass moment of inertia J = J2= J; = (T + 3)L and torsional stiffness of shaft ka = k2 = ks = (U + 10)k. Use T= land U = 8 (a) Sketch the free-body diagram of the shaft system based on Figure Q2 by including the direction of forces involved in the system. (b) Determine the equation of motion of the system using the Newton's second law in the form of [/]6 + [k]0 = [M].
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