Q#1. Three cubes of side lo, 270, and 370, are placed next to another (in contact) with their centers along a straight line and the 1= 270 cube is in the middle (see Figure below). a) If the cubes are made of the same uniform material, find along this line the position of the center of mass of the system. b) We now replace the cube in the middle (1 = 270) by another cube of the same volume but made of a different uniform material. What would be the mass density p of this cube compared to the mass density po of the initial cube if we want to locate the center of mass of the new system at the interface between the cube in the middle (1 = 2/0) and the right-hand cube (1 = 310)? -210-310- Answers: a) xCM = 3.83lo; b) p = 4.75 p0.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Q#1. Three cubes of side lo, 270, and 370, are placed next to another (in contact) with their centers
along a straight line and the 1= 270 cube is in the middle (see Figure below).
a) If the cubes are made of the same uniform material, find along this line the position of
the center of mass of the system.
b) We now replace the cube in the middle (1 = 270) by another cube of the same volume
but made of a different uniform material. What would be the mass density p of this cube
compared to the mass density po of the initial cube if we want to locate the center of mass of the
new system at the interface between the cube in the middle (1 = 2/0) and the right-hand cube (1 =
310)?
-210-310-
Answers: a) xCM = 3.83lo;
b) p = 4.75 p0.
Transcribed Image Text:Q#1. Three cubes of side lo, 270, and 370, are placed next to another (in contact) with their centers along a straight line and the 1= 270 cube is in the middle (see Figure below). a) If the cubes are made of the same uniform material, find along this line the position of the center of mass of the system. b) We now replace the cube in the middle (1 = 270) by another cube of the same volume but made of a different uniform material. What would be the mass density p of this cube compared to the mass density po of the initial cube if we want to locate the center of mass of the new system at the interface between the cube in the middle (1 = 2/0) and the right-hand cube (1 = 310)? -210-310- Answers: a) xCM = 3.83lo; b) p = 4.75 p0.
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