Unformatted text preview: 58 Chapt. 5 Newton’s Laws and Dynamics I b) Now that you’ve cut your teeth, let’s go for the curse of generality as my old friend Francesco used to say. Assuming density is given by the formula ρ ( x,y,z ) = Cx ℓ y m z n (where C is a constant and ℓ , m , and n are positive or zero integers) calculate the location of the center of mass of the cube. 005 qfull 00630 2 5 0 moderate thinking: superimposed symmetry CM 3. You have a sphere of radius R completely containing a spherical hollow of radius aR . The center of the hollow is located bR from the center of the sphere. Since the hollow is completely contained a + b ≤ 1. The density of the sphere is a constant ρ (except of course in the hollow where its zero). Locate the center of mass. 005 qfull 00950 2 3 0 moderate math: rocket pod descent on Callisto Extra keywords: David Bowman and 2001: A Space Odyssey 4. As this is (or was within living memory) 2001, let’s say you are David Bowman and you’ve just arrived at Jupiter. Before going off to investigate that monolith (and go beyond humankind),arrived at Jupiter....
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 Fall '06
 Buchler
 Physics, Mass, General Relativity, 2001: A Space Odyssey, David Bowman

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