У (т) H L x (т) A machine part designed to rotate about the y-axis (see above) is 16.00 cm wide (W) and is solid. It is cut such that it forms a parabola by the equation y= (x - 6)2/8. The density of the material increases from left to right as p(y) = 2+y kg/m³. Calculate the position of the center of mass of this object.

У (т) H L x (т) A machine part designed to rotate about the y-axis (see above) is 16.00 cm wide (W) and is solid. It is cut such that it forms a parabola by the equation y= (x - 6)2/8. The density of the material increases from left to right as p(y) = 2+y kg/m³. Calculate the position of the center of mass of this object.

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 8.90P: The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of...

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Question

у (т)
H
L.
x (т)
A machine part designed to rotate about the y-axis (see above) is 16.00 cm wide (W) and is solid.
It is cut such that it forms a parabola by the equation y= (x - 6)2/ 8. The density of the material
increases from left to right as P(y) = 2+y kg/m³. Calculate the position of the center of mass of
this object.

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