show that the centre of a rod of mass M and Length L Llies midway between its ende, gesuming the rod has a uniform mass per unit Length. suppose the rod is non-uniform, such, that its mass per unit Length variess Linearty with x according to the expression >= ax where & is a constant, find the X-Coordinate of the center of mass as a function of L.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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SD that the centee oF a rod or maes M anal Lennth L Lies
alwoy betceen its ends, aesuming the rod has a uniform
ss per unit Lenrt.. suppose TLe rod is no-LInirorm,Guct
r Ths inas per unit Lemt, varieg Linen with x nccordig
* is a conetant, Find Te
Fone tion OF L.
X-Coordinate of te center of mass d9 t
Transcribed Image Text:SD that the centee oF a rod or maes M anal Lennth L Lies alwoy betceen its ends, aesuming the rod has a uniform ss per unit Lenrt.. suppose TLe rod is no-LInirorm,Guct r Ths inas per unit Lemt, varieg Linen with x nccordig * is a conetant, Find Te Fone tion OF L. X-Coordinate of te center of mass d9 t
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