a. Air is contained within a vertical piston-cylinder assembly as shown below. On its top, the 12.5-kg piston with a diameter of 125 mm is attached to a spring and exposed to an atmospheric pressure of 1.01 bar. Initially, the piston head is at a position such that the spring exerts no force on it. The valve is then opened until the pressure of air is 435 kPa and the volume is 0.50 L. When the valve is further opened to let additional air in, the piston rises 2.75 cm more. Ignoring friction between the piston and the cylinder wall, determine the pressure of the air within the cylinder when the piston is (a) in its initial position and (b) in its final position, in atm. Note that the force exerted by the spring as the air expands within the cylinder varies linearly with x. Air Figure Air supply line

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
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a. Air is contained within a vertical piston-cylinder assembly as shown below. On its top, the 12.5-kg
piston with a diameter of 125 mm is attached to a spring and exposed to an atmospheric pressure of
1.01 bar. Initially, the piston head is at a position such that the spring exerts no force on it. The valve
is then opened until the pressure of air is 435 kPa and the
volume is 0.50 L. When the valve is further opened to let
additional air in, the piston rises 2.75 cm more. Ignoring
friction between the piston and the cylinder wall, determine
the pressure of the air within the cylinder when the piston is
(a) in its initial position and (b) in its final position, in atm. Note
that the force exerted by the spring as the air expands within
the cylinder varies linearly with x.
Air
Po
Figure
Air
supply
line
Transcribed Image Text:a. Air is contained within a vertical piston-cylinder assembly as shown below. On its top, the 12.5-kg piston with a diameter of 125 mm is attached to a spring and exposed to an atmospheric pressure of 1.01 bar. Initially, the piston head is at a position such that the spring exerts no force on it. The valve is then opened until the pressure of air is 435 kPa and the volume is 0.50 L. When the valve is further opened to let additional air in, the piston rises 2.75 cm more. Ignoring friction between the piston and the cylinder wall, determine the pressure of the air within the cylinder when the piston is (a) in its initial position and (b) in its final position, in atm. Note that the force exerted by the spring as the air expands within the cylinder varies linearly with x. Air Po Figure Air supply line
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