2. The apparatus shown below is designed to measure the density of an unknown fluid (p2). The two sides of the levice are separated by a movable, frictionless partition. The partition is attached to the immobile sidewalls of the levice via springs (different spring constants) on either side. Before pouring fluid into the device, both springs are instretched. The device has a rectangular cross-section and extends a width w into the page. Derive an expression or the unknown density p2 = f(p1, h1, h2, k₁, k2, Ax, g), where Ar is the displacement of the partition relative to ts equilibrium location before the fluids are poured into the apparatus. m₂ P1 ww k₁ | P2 ww k₂ Ax h₂

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...
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2. The apparatus shown below is designed to measure the density of an unknown fluid (p2₂). The two sides of the
device are separated by a movable, frictionless partition. The partition is attached to the immobile sidewalls of the
device via springs (different spring constants) on either side. Before pouring fluid into the device, both springs are
unstretched. The device has a rectangular cross-section and extends a width w into the page. Derive an expression
for the unknown density p2 = f(p1, h₁, h₂, k₁, k2, Ax, g), where Ar is the displacement of the partition relative to
its equilibrium location before the fluids are poured into the apparatus.
h₁
P1
k₁
5
P2
ли
Ax
k₂
h₂
Transcribed Image Text:2. The apparatus shown below is designed to measure the density of an unknown fluid (p2₂). The two sides of the device are separated by a movable, frictionless partition. The partition is attached to the immobile sidewalls of the device via springs (different spring constants) on either side. Before pouring fluid into the device, both springs are unstretched. The device has a rectangular cross-section and extends a width w into the page. Derive an expression for the unknown density p2 = f(p1, h₁, h₂, k₁, k2, Ax, g), where Ar is the displacement of the partition relative to its equilibrium location before the fluids are poured into the apparatus. h₁ P1 k₁ 5 P2 ли Ax k₂ h₂
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