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11) A cylindrical rod of constant radius and constant shear modulus, G is of length L and located between z=0 and z=L. t=zsin(πZ/2L). call the polar moment of inertia J. The boundary conditions are Φ(0)=0 AND Φ(L)=0                                                                                                                                                      Find Φ(z) and graph (1/GJ)*Φ(Z),  and (1/GJ)*(dΦ/dz)   ?

11) A cylindrical rod of constant radius and constant shear modulus, G is of length L and located between z=0 and z=L. t=zsin(πZ/2L). call the polar moment of inertia J. The boundary conditions are Φ(0)=0 AND Φ(L)=0                                                                                                                                                      Find Φ(z) and graph (1/GJ)*Φ(Z),  and (1/GJ)*(dΦ/dz)   ?

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
Problem 1.1MA
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11) A cylindrical rod of constant radius and
constant shear modulus, G is of length L
and located between z=0 and z=L.
t=zsin(πZ/2L). call the polar moment of inertia J.

The boundary conditions are
Φ(0)=0 AND Φ(L)=0                                                                                                                                                      Find Φ(z) and graph (1/GJ)*Φ(Z),  and (1/GJ)*(dΦ/dz)   ?

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