1. Three cubes of side l0, 2l0, and 3l0, are placed next to another (in contact) with their centers along a straight line and the l = 2l0 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 (l = 2l0) by another cube of the same volume but made of a different uniform material. What would be the mass density  of this cube compared to the mass density 0 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 (l = 2l0) and the right-hand cube (l = 3l0)? Q#1. Three cubes of side lo, 210, and 370, are placed next to another (in contact) with their centersalong a straight line and the /= 2/0 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 ofthe center of mass of the system.b) We now replace the cube in the middle (1 = 2/0) by another cube of the same volumebut made of a different uniform material. What would be the mass density p of this cubecompared to the mass density po of the initial cube if we want to locate the center of mass of thenew system at the interface between the cube in the middle (1 = 270) and the right-hand cube (1 =310)?1+10+-210--310

1.a) Position of the centre of the mass from the left side is 3.83l0. b) New mass density would be…

Answered: Q#1. Three cubes of side lo, 210, and…

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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Question

1. Three cubes of side l0, 2l0, and 3l0, are placed next to another (in contact) with their centers
along a straight line and the l = 2l0 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 (l = 2l0) by another cube of the same volume
but made of a different uniform material. What would be the mass density  of this cube
compared to the mass density 0 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 (l = 2l0) and the right-hand cube (l =
3l0)?