2. There is a liquid having density of Np below a liquid of density p (N is an unknown constant). A piston ofa rectangular cross section (width H into the page) is attached to a completely submerged sphere of densitye/3 and volume 4/2H3, with a pulley attachment as shown in the figure. The piston surface has a 45° anglewith respect to the horizontal direction and a 90° angle with the pulley cable. It is measured that thewithin the piston is atmospheric.pressure(a) Identify all the forces applied to the piston surface, and mark them on a free body diagram. Accuratelyindicate their points of action.(b) Evaluate N if all the forces applied to the piston surface balance.AirP/32HgPiston surfaceNpH

Solution: Given Data: ρliquid=ρρlight=Nρρsphere=ρ3Vsphere=42H3θ=45o To Find:

Answered: with a pulley attachment as shown in…

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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2. There is a liquid having density of Np below a liquid of density p (N is an unknown constant). A piston of
a rectangular cross section (width H into the page) is attached to a completely submerged sphere of density
e/3 and volume 4/2H3, with a pulley attachment as shown in the figure. The piston surface has a 45° angle
with respect to the horizontal direction and a 90° angle with the pulley cable. It is measured that the
within the piston is atmospheric.
pressure
(a) Identify all the forces applied to the piston surface, and mark them on a free body diagram. Accurately
indicate their points of action.
(b) Evaluate N if all the forces applied to the piston surface balance.
Air
P/3
2H
g
Piston surface
Np
H

Expert Solution

Step 1

Solution:

Given Data:

$\begin{array}{rcl} ρ_{l i q u i d} & = & ρ \\ ρ_{l i g h t} & = & N ρ \\ ρ_{s p h e r e} & = & \frac{ρ}{3} \\ V_{s p h e r e} & = & 4 \sqrt{2} H^{3} \\ θ & = & 45^{o} \end{array}$

To Find:

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