Pathfinder Oscillations & Waves BYU 21

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A glass tube of circular section of area S bent in a shape shown, has one arm vertical and the other inclined at an angle theta. A light piston that can slide without friction in the vertical arm is connected at the lower end of a vertical spring of force constant k, the upper end of which is connected to a fixed support. When a mass m of a non-viscous liquid of density rho is poured in the tube, level of liquid in the inclined arm stays higher than the piston as shown in the figure. Find period of small oscillations of the liquid. There is no friction between the piston and the tube and acceleration due to gravity is g.

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