Problem 4.3[Difficulty: 2]θ FnMVGiven:Data on ball and pipeFind:Speed and location at which contact is lostSolution:The given data isr1mm⋅=R50mm⋅=Fn∑Fnmg⋅cosθ()⋅−=man⋅=anV2Rr+−=Contact is lost whenFn0=orm−g⋅cosθ⋅m−V2+⋅=V2gR r+⋅cosθ⋅=(1)For no resistance energy is conserved, soEmg⋅z⋅mV22⋅+=⋅+⋅cosθ⋅mV22⋅+=E0=⋅+⋅=Hence from energy considerationsV22g⋅+⋅1cosθ−⋅=(2)Combining 1 and 2,
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.