Pathfinder Oscillations & Waves BYU 20

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One wall of a water tank is inclined at angle theta to the horizontal. On this wall, a thin square plate of mass m and side l is held with its upper edge coinciding with the water level. Coefficient of friction between the plate and the wall is mu. When the plate is released, it slides down the wall and water does not enter between the plate and the wall. How long will the plate keep sliding? Neglect viscosity and turbulence in the water.

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