A solid cylindrical needle of diameter d , length L , and density n may fl oat in liquid

Chapter 1, Problem p1.69

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A solid cylindrical needle of diameter d , length L , and density n may fl oat in liquid of surface tension Y . Neglect buoyancy and assume a contact angle of 0 8 . Derive a formula for the maximum diameter dmax able to fl oat in the liquid. Calculate dmax for a steel needle (SG 5 7.84) in water at 20 8 C.

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