[4.] Two point masses m and 10 m lie along the x-axis, with m at the origin and 10 m at x = L. A third point mass M is moved along the x-axis. (a) At what point is the net gravitational force on M due to the other two masses equal to zero? (b) Sketch the x-component of the net force on M due to m and 10m taking quantities to the right as positive. Include the regions x < 0; 0 < x < L, and x > L. Be especially careful to show the behavior of the graph on either side of x = 0 and x = L.

Classical Dynamics of Particles and Systems
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ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.1P
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[4.]
Two point masses m and 10 m lie along the x-axis, with m at the origin
and 10 m at x = L. A third point mass M is moved along the x-axis. (a) At what point
is the net gravitational force on M due to the other two masses equal to zero? (b) Sketch
the x-component of the net force on M due to m and 10m taking quantities to the right as
positive. Include the regions x < 0; 0 < x < L, and x > L. Be especially careful to show
the behavior of the graph on either side of x = 0 and x = L.
Transcribed Image Text:[4.] Two point masses m and 10 m lie along the x-axis, with m at the origin and 10 m at x = L. A third point mass M is moved along the x-axis. (a) At what point is the net gravitational force on M due to the other two masses equal to zero? (b) Sketch the x-component of the net force on M due to m and 10m taking quantities to the right as positive. Include the regions x < 0; 0 < x < L, and x > L. Be especially careful to show the behavior of the graph on either side of x = 0 and x = L.
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