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In Fig. 13-24, two particles, of masses m and 2m, are fixed in place on an axis, (a) Where on the axis can a third particle of mass be placed (other than at infinity) so that the net gravitational force on it from the first two particles is zero: to the left of the first two particles, to their right, between them but closer to the more massive particle, or between them but closer to the less massive particle? (b) Does the answer change if the third particle has, instead, a mass of 16m? (c) Is there a point off the axis (other than infinity) at on the third particle would be zero?
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Fundamentals of Physics, Volume 1, Chapter 1-20
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