Number 2A thin triangular plate of uniform density and thickness hasvertices at vi =(0, 1), v2figure below, and the mass of the plate is 3 g.a. Find the (x, y)-coordinates of the center of mass of theplate. This "balance point" of the plate coincides withthe center of mass of a system consisting of three 1-grampoint masses located at the vertices of the plate.3(8, 1), and V3 D(2, 4), as in theb. Determine how to distribute an additional mass of 6 gat the three vertices of the plate to move the balancepoint of the plate to (2, 2). [Hint: Let w, w2, and w3denote the masses added at the three vertices, so that4Wi + w + w3 6.]

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A thin triangular plate of uniform density and thickness has vertices at vi 3 (0, 1), v2 figure below, and the mass of the plate is 3 g. a. Find the (x, y)-coordinates of the center of mass of the plate. This "balance point" of the plate coincides with the center of mass of a system consisting of three l-gram point masses located at the vertices of the plate. (8, 1), and v3 =(2,4), as in the %3D b. Determine how to distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to (2, 2). [Hint: Let w, uw2, and w3 denote the masses added at the three vertices, so that 4- Wi + w2 + uw3 = 6.]

A thin triangular plate of uniform density and thickness has vertices at vi 3 (0, 1), v2 figure below, and the mass of the plate is 3 g. a. Find the (x, y)-coordinates of the center of mass of the plate. This "balance point" of the plate coincides with the center of mass of a system consisting of three l-gram point masses located at the vertices of the plate. (8, 1), and v3 =(2,4), as in the %3D b. Determine how to distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to (2, 2). [Hint: Let w, uw2, and w3 denote the masses added at the three vertices, so that 4- Wi + w2 + uw3 = 6.]

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 9.7P: Determine Ix and Iy for the plane region using integration.

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