An endless thin wire of density Y1 (unit: kg/m) is just above the x axis. An infinitely thin layer of density Y2 (unit: kg/m²) is parallel to the x-y plane and intersects the z-axis at the point z= -a. Find the gravitational field at (x,y,z) position. Give your answer in terms of (G,Y1,Y2, a, x, y, z, ^x, ^y, ^z(unit vectors)).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 33PQ
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An endless thin wire of density Y1 (unit: kg/m) is just above the x axis. An infinitely thin layer of density Y2 (unit: kg/m²) is parallel to the x-y plane and intersects the z-axis at the point z= -a.

Find the gravitational field at (x,y,z) position. Give your answer in terms of (G,Y1,Y2, a, x, y, z, ^x, ^y, ^z(unit vectors)).

Hint:

A hint is given in the figure. The result will be (+ and -).

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