There is a liquid having density of N ρ below a liquid of density ρ (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 ρ/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 pressure within the piston is atmospheric (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.
There is a liquid having density of N ρ below a liquid of density ρ (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 ρ/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 pressure within the piston is atmospheric
(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.
Given
Density of upper Liquid=
Density of lower liquid= N
Density of sphere =
volume of sphere=
To find:
(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.
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