The total mass of a rod of length L meters is M kilograms, and the measure of the linear density at a point x meters from the left end is proportional to the measure of the distance of the point from the right end. Show that the linear density at a point on the rod x meters from the left end is 2M (L − x)/ L² kilograms per meter.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
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4.
The total mass of a rod of length L meters is M kilograms, and the measure of
the linear density at a point x meters from the left end is proportional to the measure
of the distance of the point from the right end. Show that the linear density at a point
on the rod x meters from the left end is 2M (L − x)/ Ľ² kilograms per meter.
Transcribed Image Text:4. The total mass of a rod of length L meters is M kilograms, and the measure of the linear density at a point x meters from the left end is proportional to the measure of the distance of the point from the right end. Show that the linear density at a point on the rod x meters from the left end is 2M (L − x)/ Ľ² kilograms per meter.
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