3.39 One end of the mercury filled U-tube manometer of Figure P3.39 is the atmosphere while the other end is capped an under a pressure of 20 psig. The cap is suddenly removed. open to (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. Total length of mercury column = 12 ft Hg FIGURE P3.39
3.39 One end of the mercury filled U-tube manometer of Figure P3.39 is the atmosphere while the other end is capped an under a pressure of 20 psig. The cap is suddenly removed. open to (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. Total length of mercury column = 12 ft Hg FIGURE P3.39
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Transcribed Image Text:3.39
One end of the mercury filled U-tube manometer of Figure P3.39 is
the atmosphere while the other end is capped an under a pressure of 20 psig.
The cap is suddenly removed.
open to
(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.
Total length of mercury
column = 12 ft
Hg
FIGURE P3.39
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