hub blade R 3R Problem 1. An aircraft's propeller consists of a rigid hub of radius R and a flexible tapered blade of length 3R that has density p (kg/m³). The propeller is rotating about the center of the hub with a steady angular velocity w, thereby creating an effective axial distributed force in the blade. Neglect forces due to gravity. The cross sectional area distribution of the blade is A(r), defined as r A(r) = (5-)4, : if R

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.67P: For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the...
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(c) Write down the boundary conditions for the problem.
(d) Find the axial stress distribution, sigma(r).

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hub
blade
R
3R
Transcribed Image Text:hub blade R 3R
Problem 1.
An aircraft's propeller consists of a rigid hub of radius R and a flexible tapered
blade of length 3R that has density p (kg/m³). The propeller is rotating about the center of the hub
with a steady angular velocity w, thereby creating an effective axial distributed force in the blade.
Neglect forces due to gravity. The cross sectional area distribution of the blade is A(r), defined as
r
A(r) = (5-)4, : if R <r<4R
R
Transcribed Image Text:Problem 1. An aircraft's propeller consists of a rigid hub of radius R and a flexible tapered blade of length 3R that has density p (kg/m³). The propeller is rotating about the center of the hub with a steady angular velocity w, thereby creating an effective axial distributed force in the blade. Neglect forces due to gravity. The cross sectional area distribution of the blade is A(r), defined as r A(r) = (5-)4, : if R <r<4R R
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