A splash of knowledge

Classical Mechanics Level 2

A 100 gram cylindrical glass is attached to a string that hangs from the ceiling. Then the glass which has a cross-sectional radius of 4 cm and a height of 15 cm, is slowly filled with water. If the string breaks when the glass is 2/3 full, what is the maximum tension in Newtons that the string can support?

Details and assumptions

  • The acceleration of gravity is \(-9.8\text{ m/s}^2.\)
  • The density of water is \(1\text{ g/cm}^3.\)

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