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Problem 2: The figure shows a cubical volume of a material with a non-uniform density. The density varies as a function of height y (but is constant along x- and z-directions. The side length of the cube is 0.08 m and the density function along the y-axis is given by p= Po(1-by) where po = 4300 kg/m³ and the constant b=8.5 m². (a) What is the total mass of the cube? (b) Where is the center of mass of the cube along the y-axis (what is ycom)?

Problem 2: The figure shows a cubical volume of a material with a non-uniform density. The density varies as a function of height y (but is constant along x- and z-directions. The side length of the cube is 0.08 m and the density function along the y-axis is given by p= Po(1-by) where po = 4300 kg/m³ and the constant b=8.5 m². (a) What is the total mass of the cube? (b) Where is the center of mass of the cube along the y-axis (what is ycom)?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 6P: Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 ...
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Problem 2: The figure shows a cubical volume of a material with a non-uniform density. The density varies as a function of height y (but is constant along x- and z-directions. The side length of the cube is 0.08 m and the density function along the y-axis is given by p= Po(1-by) where po = 4300 kg/m³ and the constant b=8.5 m². (a) What is the total mass of the cube? (b) Where is the center of mass of the cube along the y-axis (what is ycom)?
Transcribed Image Text:Problem 2: The figure shows a cubical volume of a material with a non-uniform density. The density varies as a function of height y (but is constant along x- and z-directions. The side length of the cube is 0.08 m and the density function along the y-axis is given by p= Po(1-by) where po = 4300 kg/m³ and the constant b=8.5 m². (a) What is the total mass of the cube? (b) Where is the center of mass of the cube along the y-axis (what is ycom)?
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