As shown in Video V1.9, surface tension forcescan be strong enough to allow a

Chapter 1, Problem 1.124

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As shown in Video V1.9, surface tension forcescan be strong enough to allow a double-edge steel razor bladeto float on water, but a single-edge blade will sink. Assumethat the surface tension forces act at an angle relative to thewater surface as shown in Fig. P1.124. (a) The mass of thedouble-edge blade is 0.64 103 kg, and the total length of itssides is 206 mm. Determine the value of required to maintainequilibrium between the blade weight and the resultantsurface tension force. (b) The mass of the single-edge bladeis 2.61 103 kg, and the total length of its sides is 154 mm.Explain why this blade sinks. Support your answer with thenecessary calculations.

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