Auniform thin rod of mass M and length L lies on the

Chapter , Problem 68

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Auniform thin rod of mass M and length L lies on the positive x axis with one end at the origin. Consider an element of the rod of length dx, and mass dm, at point x, where (a) Show that this element produces a gravitational field at a point on the x axis in the region is given by (b) Integrate this result over the length of the rod to find the total gravitational field at the point due to the rod. (c) Find the gravitational force on a point particle of mass at (d) Show that for the field of the rod approximates the field of a point particle of mass M at

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