A uniform rod of mass M and length L lies along the x axis with its center

Question:

A uniform rod of mass M and length L lies along the x axis with its center at the origin. Consider an element of length dx at a distance x from the origin.

(a) Show that this element produces a gravitational field at a point x0 on the x axis (x₀ > ½L) given by

GM dx dg, L(xo – x)²'

(b) Integrate this result over the length of the rod to find the total gravitational field at the point x₀ due to the rod.

(d) Show that for x₀ >> L, the field is approximately equal to that of a point mass M.

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Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

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Question Posted: Jul 12, 2011 07:13 AM

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A uniform rod of mass M and length L lies along the x axis with its center

Question:

GM dx dg, L(xo – x)²'

Step by Step Answer:

a b See Example 118 c F m 0 g ...View the full answer

Fundamentals of Ethics for Scientists and Engineers

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