3.39 One end of the mercury filled U-tube manometer of Figure P3.39 is open to the atmosphere while the other end is capped and 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(1) if it 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 Given: po= 20 psig, l = 12 ft, Hg FIGURE P3-39 %3D Find: x(t)
3.39 One end of the mercury filled U-tube manometer of Figure P3.39 is open to the atmosphere while the other end is capped and 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(1) if it 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 Given: po= 20 psig, l = 12 ft, Hg FIGURE P3-39 %3D Find: x(t)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:3.39 One end of the mercury filled U-tube manometer of Figure P3.39 is open to the
atmosphere while the other end is capped and 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
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
Given: po = 20 psig, l = 12 ft, Hg
FIGURE P3-39
Find: x(t)
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