A tank filled with water has drain-off valve located at the bottom of its base shown in figure 2. The height of water from the base to the free surface is 1 m. The valve is attached with a string to a solid cylinder buoy made from polystyrene. The diameter of valve is 3 cm and the cylinder has 10 cm diameter. It is believes that the valve will be pulled up by the buoy if it has a sufficient length of L to create a buoyancy force upward. Assume that the mass of string is negligible. Use 1.5kg/m³ as the density of polystyrene

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...
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b)
A tank filled with water has drain-off valve located at the bottom of its base shown in
figure 2. The height of water from the base to the free surface is 1 m. The valve is
attached with a string to a solid cylinder buoy made from polystyrene. The diameter
of valve is 3 cm and the cylinder has 10 cm diameter. It is believes that the valve will
be pulled up by the buoy if it has a sufficient length of L to create a buoyancy force
upward. Assume that the mass of string is negligible. Use 1.5kg/m³ as the density of
polystyrene
1 m
Figure 2 Buoy configuration
i) Draw the free body diagram
ii) Calculate the minimum length of L sufficiently to pull off the valve
Transcribed Image Text:b) A tank filled with water has drain-off valve located at the bottom of its base shown in figure 2. The height of water from the base to the free surface is 1 m. The valve is attached with a string to a solid cylinder buoy made from polystyrene. The diameter of valve is 3 cm and the cylinder has 10 cm diameter. It is believes that the valve will be pulled up by the buoy if it has a sufficient length of L to create a buoyancy force upward. Assume that the mass of string is negligible. Use 1.5kg/m³ as the density of polystyrene 1 m Figure 2 Buoy configuration i) Draw the free body diagram ii) Calculate the minimum length of L sufficiently to pull off the valve
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