A mechanical part is made up by the union of two triangles, as illustrated in Figure 3. Both triangles have the same base b, height h and uniform thickness w. Each triangle has uniform density, Pj and ez respectively. a. Determine the x-coordinate of the geometrical centroid of each triangle. Justify your reasoning. b. Determine the x-coordinate of the center of mass of the whole mechanical part. Justify your reasoning. y P2 h Pi b Figure 3. Two triangles with equal dimensions and different densities are combined together into one mechanical part.

A mechanical part is made up by the union of two triangles, as illustrated in Figure 3. Both triangles have the same base b, height h and uniform thickness w. Each triangle has uniform density, Pj and ez respectively. a. Determine the x-coordinate of the geometrical centroid of each triangle. Justify your reasoning. b. Determine the x-coordinate of the center of mass of the whole mechanical part. Justify your reasoning. y P2 h Pi b Figure 3. Two triangles with equal dimensions and different densities are combined together into one mechanical part.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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