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Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0 counterclockwise from the +x axis. (a) If the rod is free to rotate about a fixed pin at A, what is the extensional strain in the rod when end B moves a distance u in the +x direction to point B*? Express your answer in terms of the displacement u, the original length L, and the original angle 0. (b) Simplify the answer you ob- tained for Part (a), obtaining a small-displacement approxi- mation that is valid if u « L. (Note: This result will be used in Section 3.10.) P2.3-10

Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0 counterclockwise from the +x axis. (a) If the rod is free to rotate about a fixed pin at A, what is the extensional strain in the rod when end B moves a distance u in the +x direction to point B*? Express your answer in terms of the displacement u, the original length L, and the original angle 0. (b) Simplify the answer you ob- tained for Part (a), obtaining a small-displacement approxi- mation that is valid if u « L. (Note: This result will be used in Section 3.10.) P2.3-10

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2C Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0 counterclockwise from the +x axis. (a) If the rod is free to rotate about a fixed pin at A, what is the extensional strain in the rod when end B moves a distance u in the +x direction to point B*? Express your answer in terms of the displacement u, the original length L, and the original angle 0. (b) Simplify the answer you ob- tained for Part (a), obtaining a small-displacement approxi- mation that is valid if u «L. (Note: This result will be used in Section 3.10.) P2.3-10
Transcribed Image Text:2C Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0 counterclockwise from the +x axis. (a) If the rod is free to rotate about a fixed pin at A, what is the extensional strain in the rod when end B moves a distance u in the +x direction to point B*? Express your answer in terms of the displacement u, the original length L, and the original angle 0. (b) Simplify the answer you ob- tained for Part (a), obtaining a small-displacement approxi- mation that is valid if u «L. (Note: This result will be used in Section 3.10.) P2.3-10
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