. The setup shown by the diagram below was used to calculate the force experienced by a small mass m situated at a distance r from the geometric center of a spherical shell with mass M, radius R, and a wall thickness of t. M Rde dᎾ R a Ө C B A Rsine r l=r-R dF l Ф Ø If the mass is situated outside the spherical shell, the force can be calculated by integration from l = (r- to l= (r+ R), as shown here: l=r+R R r²-R² JdF="J Gomport ² (1+²²=²) de m What would the limits of integration be if the mass were situated inside the spherical shell? Include a labeled diagram to represent this situation.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter1: Units And Measurement
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1. The setup shown by the diagram below was used to calculate the force experienced by a small mass m
situated at a distance r from the geometric center of a spherical shell with mass M, radius R, and a wall
thickness of t.
M
C
dᎾ
R
0
Rde
A Rsine
B
r
Ф
dF Ф
m
If the mass is situated outside the spherical shell, the force can be calculated by integration from l = (r - R)
to l= (r+ R), as shown here:
l=r+R
R
-
[ &F="TOmp: +(1+²²=² ) We
SdF=fGmpat-
de
l=r-R
What would the limits of integration be if the mass were situated inside the spherical shell? Include a
labeled diagram to represent this situation.
Transcribed Image Text:1. The setup shown by the diagram below was used to calculate the force experienced by a small mass m situated at a distance r from the geometric center of a spherical shell with mass M, radius R, and a wall thickness of t. M C dᎾ R 0 Rde A Rsine B r Ф dF Ф m If the mass is situated outside the spherical shell, the force can be calculated by integration from l = (r - R) to l= (r+ R), as shown here: l=r+R R - [ &F="TOmp: +(1+²²=² ) We SdF=fGmpat- de l=r-R What would the limits of integration be if the mass were situated inside the spherical shell? Include a labeled diagram to represent this situation.
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