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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.]

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Number 2 A thin triangular plate of uniform density and thickness has vertices at vi =(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 1-gram point masses located at the vertices of the plate. 3(8, 1), and V3 D (2, 4), as in the 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, w2, and w3 denote the masses added at the three vertices, so that 4 Wi + w + w3 6.]
Transcribed Image Text:Number 2 A thin triangular plate of uniform density and thickness has vertices at vi =(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 1-gram point masses located at the vertices of the plate. 3(8, 1), and V3 D (2, 4), as in the 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, w2, and w3 denote the masses added at the three vertices, so that 4 Wi + w + w3 6.]
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