ngular blockK or width a and neight that density such thất when the rectangie is placed placed in the first quadrant with the two edges along the x- and y-axes, the density is given by p(x, y) = Pox, where Po is a constant. (Assume the width refers to the x-direction and the height re to the y-direction. Use the following as necessary: a, b, and Po:) xy-plane with one corner at the ngin and the XCM = Усм

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 69P: Find the center of mass of a rod of length L whose mass density changes from one end to the other...
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Find the center of mass of a rectangular block of width a and height b that has a nonuniform density such that when the rectangle is placed in the xy-plane with one corner at the origin and the bl
placed in the first quadrant with the two edges along the x- and y-axes, the density is given by p(x, y) = Pox, where Po is a constant. (Assume the width refers to the x-direction and the height re
to the y-direction. Use the following as necessary: a, b, and Po:)
XCM =
Усм
Transcribed Image Text:Find the center of mass of a rectangular block of width a and height b that has a nonuniform density such that when the rectangle is placed in the xy-plane with one corner at the origin and the bl placed in the first quadrant with the two edges along the x- and y-axes, the density is given by p(x, y) = Pox, where Po is a constant. (Assume the width refers to the x-direction and the height re to the y-direction. Use the following as necessary: a, b, and Po:) XCM = Усм
Find the center of mass of a rod of length L whose mass density changes from one end to the other quadratically. That is, if the rod is laid out along the x-axis with one end at the origin and the of
end at x = L, the density is given by p(x) = Po + (P, - PoE
where Po and e, are constant values. (Use the following as necessary: L, Po, and e,.)
XCM =
Transcribed Image Text:Find the center of mass of a rod of length L whose mass density changes from one end to the other quadratically. That is, if the rod is laid out along the x-axis with one end at the origin and the of end at x = L, the density is given by p(x) = Po + (P, - PoE where Po and e, are constant values. (Use the following as necessary: L, Po, and e,.) XCM =
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