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293_Physics ProblemsTechnical Physics

293_Physics ProblemsTechnical Physics - Chapter 10 P10.24...

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Chapter 10 295 P10.24 Treat the tire as consisting of three parts. The two sidewalls are each treated as a hollow cylinder of inner radius 16.5 cm, outer radius 30.5 cm, and height 0.635 cm. The tread region is treated as a hollow cylinder of inner radius 30.5 cm, outer radius 33.0 cm, and height 20.0 cm. Use I m R R = + 1 2 1 2 2 2 e j for the moment of inertia of a hollow cylinder. Sidewall: m I = × × = = + = × π 0 305 0 165 6 35 10 1 10 10 1 44 1 2 1 44 0 165 0 305 8 68 10 2 2 3 3 2 2 2 . . . . . . . . . m m m kg m kg kg m m kg m 3 side 2 a f a f e je j b ga f a f Tread: m I = × = = + = π 0 330 0 305 0 200 1 10 10 11 0 1 2 11 0 0 330 0 305 1 11 2 2 3 2 2 . . . . . . . . . m m m kg m kg kg m m kg m 3 tread 2 a f a f a f e j b ga f a f Entire Tire: I I I total side tread 2 2 2 kg m kg m kg m = + = × + = 2 2 8 68 10 1 11 1 28 2 . . . e j P10.25 Every particle in the door could be slid straight down into a high-density rod across its bottom,
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