Discuss qualitative idea for the gravitational force of attraction between a hollow spherical shell or solid sphere

Question

Discuss qualitative idea for the gravitational force of attraction between a hollow spherical shell or solid sphere

Discuss qualitative idea for the gravitational force of attraction between a hollow spherical shell or solid sphere of uniform density and a point mass situated outside the shell / sphere.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Gravitational force caused by different regions of shell can be resolved into components along the line joining the point mass to the centre and along a direction perpendicular to this line.
The components perpendicular to this line cancel each other and the resultant force remains along the line joining the point to the centre.
Mathematical calculations show that, this resultant force on this point equals the force that would get exerted by the shell whose entire mass is situated at its centre.