172_Physics ProblemsTechnical Physics

172_Physics ProblemsTechnical Physics - 174 P6.43 Circular...

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174 Circular Motion and Other Applications of Newton’s Laws P6.43 In RD A v = 1 2 2 ρ , we estimate that D = 100 ., = 120 . k gm 3 , A == × 0 100 0 160 1 60 10 2 .. . m m m 2 a fa f and v = 27 0 . m s. The resistance force is then R = 1 2 100 120 160 10 270 700 2 2 . . . a f ej e j bg kg m m m s N 32 or R ~1 0 1 N Section 6.5 Numerical Modeling in Particle Dynamics Note : In some problems we compute each new position as xt t xt vt t t += ++ ∆∆ af a f , rather than t xt vt t + a f as quoted in the text. This method has the same theoretical validity as that presented in the text, and in practice can give quicker convergence. P6.44 (a) At vv T = , a = 0, −+ = mg bv T 0 v mg b T × × = 300 10 980 0980 3 2 . . kg m s kg s ms 2 e j (b) t s x m v F mN a 2 0 0.005 0.01 0.015 2 2 1.999 755 1.999 3 0 –0.049 –0.095 55 –0.139 77 –29.4 –27.93 –26.534 –25.2 –9.8 –9.31 –8.844 5 –8.40 . . . we list the result after each tenth iteration 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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