How Does Shell Theorem Apply to Asymmetrical and Perforated Shells?

[zarmewa]

INSIDE SHELL

Not sure if it is done erroneously or blatantly but there is a mammoth difference between

“Force ON the particle” and “Force BETWEEN the particles”

Therefore just suffice it to say that the net force ON the point mass at exact center of the spherical shell is zero but the force BETWEEN shell and point mass is F=GMm/r^2=infinity, because the on center distance of the shell and the point mass coincides id est r = zero

Similarly, would the praxis be amenable to hemispherical shell or quasi cross-section, disorderly holes in the spherical shell and asymmetrical shell?
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Eclectic Eccentric Khattak No.1

GO

 

[Doc Al]

Therefore just suffice it to say that the net force ON the point mass at exact center of the spherical shell is zero but the force BETWEEN shell and point mass is F=GMm/r^2=infinity, because the on center distance of the shell and the point mass coincides id est r = zero

Nope. You cannot treat the mass of the shell as if concentrated at its center when trying to find the force it exerts on a mass within the shell. (And your distinction between force "on" and force "between" doesn't make sense when talking about a point mass within the shell.)

 

[zarmewa]

Is shell theorem applicable to hemispherical shell or quasi cross-section, disorderly holes in the spherical shell and asymmetrical shell?

 

[Doc Al]

Is shell theorem applicable to hemispherical shell or quasi cross-section, disorderly holes in the spherical shell and asymmetrical shell?

No..