What will be the gravitational force inside a hollow cylinder at the

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The gravitational force inside a hollow cylinder at its center is zero due to symmetry considerations. For a finite-length cylinder, this zero force is only true at the exact center, while for an infinite-length cylinder, the gravitational field is zero throughout the entire interior region devoid of mass. This phenomenon can be explained using Gauss's law, which relates the divergence of the gravitational field to mass density. The term "center at center" refers to the midpoint of the circular cross-section at half the cylinder's height. Overall, the gravitational force inside a hollow cylinder is determined by its geometry and mass distribution.
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what will be the gravitational force inside a hollow cylinder at the center?
if it is zero than explain why?
above thanks
 
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If the cylinder has finite length, the field inside is zero only at the "center of the center", by symmetry considerations, and this even if the cylinder is not empty. If the cylinder has infinite length, then the field inside is zero not only along the axis, but in the whole region where there is no mass. The proof is the Gauss or divergence formula and the fact that for the gravitational field

\nabla\cdot E=4\pi G\rho.
 


what is meaning by center at center?
 


The center of the circular section at half longitudinal height
 
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