Three point particles are fixed in place in an xy plane, as shown. Particle A has mass m A, parti- cle B has mass 2.00m A, and particle C has mass 3.00m A. A fourth particle D, with mass 4.00m A, is to be placed near the other three particles. In terms of distance d, at what (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero? B d 1.5d C A

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.6P
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Problem 8
Three point particles are fixed in place in an xy
plane, as shown. Particle A has mass m A, parti-
cle B has mass 2.00m A, and particle C has mass
3.00m A. A fourth particle D, with mass 4.00m A,
is to be placed near the other three particles. In
terms of distance d, at what (a) x coordinate
and (b) y coordinate should particle D be placed
so that the net gravitational force on particle A
from particles B, C, and D is zero?
В
d
1.5d
C
A
Transcribed Image Text:Problem 8 Three point particles are fixed in place in an xy plane, as shown. Particle A has mass m A, parti- cle B has mass 2.00m A, and particle C has mass 3.00m A. A fourth particle D, with mass 4.00m A, is to be placed near the other three particles. In terms of distance d, at what (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero? В d 1.5d C A
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