One end of the mercury filled U-tube manometer of Figure P3.39 is open to the atmosphere while
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One end of the mercury filled U-tube manometer of Figure P3.39 is open to the atmosphere while the other end is capped an under a pressure of 20 psig. The cap is suddenly removed.
(a) Determine \(x(t)\) as the displacement of the mercury-air interface from the column's equilibrium position if the column is undamped.
(b) Determine \(x(t)\) if it is determined that the column of mercury has viscous damping with a damping ratio of 0.1 .
(c) Determine \(x(t)\) if it is observed that after 5 cycles of motion the amplitude has decreased to one-third of its initial value.
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