Shell in a shell

Classical Mechanics Level pending

A spherical shell of volume mass density ρ \rho , thickness t t and radius R R (with R > > t R >> t ) is placed concentrically inside another shell of radius 2 R 2R having the same thickness and of the same material as shown in the figure.

If the circumferential stress developed in the outer shell is x G π R t ρ 2 x G \pi R t \rho^2 , find x x .


The answer is 1.5.

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