A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according to the expression x= ax, where a is a constant. Find the x coordinate of the center of mass as a fraction of L. -L-

A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according to the expression x= ax, where a is a constant. Find the x coordinate of the center of mass as a fraction of L. -L-

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

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Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.

Question

A rod of mass M and length L is nonuniform such that its mass per unit length varies with x according to the
expression x= a x*, where a is a constant. Find the x coordinate of the center of mass as a fraction of L.
on
-L▬
O a. 5L/6
O b. 3L/4
O c. 6L/7
O d. 4L/5

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