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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 de R 0 Rde A Rsine B r l dF l Ф P m If the mass is situated outside the spherical shell, the force can be calculated by integration from = (r-R) to l= (r+ R), as shown here: l=r+R R Jdt - I Gomper (1,²² - A de SdF= 1+ dl 2 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.

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 de R 0 Rde A Rsine B r l dF l Ф P m If the mass is situated outside the spherical shell, the force can be calculated by integration from = (r-R) to l= (r+ R), as shown here: l=r+R R Jdt - I Gomper (1,²² - A de SdF= 1+ dl 2 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.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Need help for Q1 and Q2, include all steps plz! Thank u.
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 = с dᎾ R 0 Rde A B Rsine r l r Ф p dF l If the mass is situated outside the spherical shell, the force can be calculated by integration from l = (r - R) (r+ R), as shown here: to l l=r+R R - 5 d² - T Gompert (1+²^²=R²) 21 SdF = Jae l=r-R 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.
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 = с dᎾ R 0 Rde A B Rsine r l r Ф p dF l If the mass is situated outside the spherical shell, the force can be calculated by integration from l = (r - R) (r+ R), as shown here: to l l=r+R R - 5 d² - T Gompert (1+²^²=R²) 21 SdF = Jae l=r-R 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.
2. Using the limits of integration from Q1 (above), show that the gravitation force within a spherical shell with mass M, radius R, and a wall thickness of t is zero. Explicitly show each step. (Hint: there should be at least eight steps.)
Transcribed Image Text:2. Using the limits of integration from Q1 (above), show that the gravitation force within a spherical shell with mass M, radius R, and a wall thickness of t is zero. Explicitly show each step. (Hint: there should be at least eight steps.)
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