Determine the coordinates of the centroid of the area that lies between the straight line x =2y/3 and the parabola x? = 4y, where x and y are measured in inches [see Fig. (a)]. Use the following methods: 6 in. (1) Using a horizontal differential area element; and (2) Using a vertical differential area element. Solution 19 in. = 4y!

Determine the coordinates of the centroid of the area that lies between the straight line x =2y/3 and the parabola x? = 4y, where x and y are measured in inches [see Fig. (a)]. Use the following methods: 6 in. (1) Using a horizontal differential area element; and (2) Using a vertical differential area element. Solution 19 in. = 4y!

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 8.7P: Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h,...

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