|(II) A mass M is ring shaped with radius r. A small mass m is placed at a distance x along the ring's axis as shown in Fig. 6-27. Show that the gravitational force on the mass m due to the ring is directed inward along the axis and has magnitude Fo GMMX F = (x² + r2)ž no Asd uods [Hint: Think of the ring as made up of many small point masses dM; sum over the forces due to each dM, and use symmetry.] m le Problem 18. ON FIGURE 6-27 ii l .

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter7: Gravitation
Section: Chapter Questions
Problem 74A
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|(II) A mass M is ring shaped with radius r. A small mass m
is placed at a distance x along the ring's axis as shown in
Fig. 6-27. Show that the gravitational force on the mass m due
to the ring is directed inward along the axis and has magnitude
Fo GMMX
F =
(x² + r2)ž
no
Asd uods
[Hint: Think of the ring as made up
of many small point masses dM; sum
over the forces due to each dM, and
use symmetry.]
m
le
Problem 18. ON
FIGURE 6-27
ii l .
Transcribed Image Text:|(II) A mass M is ring shaped with radius r. A small mass m is placed at a distance x along the ring's axis as shown in Fig. 6-27. Show that the gravitational force on the mass m due to the ring is directed inward along the axis and has magnitude Fo GMMX F = (x² + r2)ž no Asd uods [Hint: Think of the ring as made up of many small point masses dM; sum over the forces due to each dM, and use symmetry.] m le Problem 18. ON FIGURE 6-27 ii l .
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