Prove that the differential equation for radial equilibrium in cylindrical coordinates of an element in a uniform thin disc rotating at ω rad/s and subjected to principal direct stresses σr and σɵ is givenby the following expression. σɵ-σr-rdσr/dr=pω^2r^2 5. Prove that the differential equation for radial equilibrium in cylindrical coordinates of anelement in a uniform thin disc rotating at o rad/s and subjected to principal direct stressesơ; and o, is given by the following expression.da,dr

Answered: 5. Prove that the differential equation…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Prove that the differential equation for radial equilibrium in cylindrical coordinates of an element in a uniform thin disc rotating at ω rad/s and subjected to principal direct stresses σ_r and σ_ɵis givenby the following expression.

σ_ɵ-σ_{r-rdσr/dr=pω^2r^2}

5. Prove that the differential equation for radial equilibrium in cylindrical coordinates of an
element in a uniform thin disc rotating at o rad/s and subjected to principal direct stresses
ơ; and o, is given by the following expression.
da,
dr

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Consider the element of the uniform thin disc .

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