Problem 4.3 - Problem 4.3 [Difficulty: 2] Given: Data on...

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Problem 4.3 [Difficulty: 2] θ F n M V Given: Data on ball and pipe Find: Speed and location at which contact is lost Solution: The given data is r1 m m = R5 0 m m = F n F n mg cos θ () = ma n = a n V 2 Rr + = Contact is lost when F n 0 = or m g cos θ m V 2 + = V 2 gR r + cos θ = (1) For no resistance energy is conserved, so Em g z m V 2 2 + = + cos θ m V 2 2 + = E 0 = + = Hence from energy considerations V 2 2g + 1 cos θ = (2) Combining 1 and 2,
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