A piston-cylinder system contains R-134a as shown in the figure. Two linear springs with the same spring constant but different lengths are installed above the frictionless piston. Initially (state 1) the piston is motionless and floating so that the top of the piston is 2 cm from the bottom of Spring 1 and 5 cm from the bottom of Spring 2. In this initial state the R-134a has a temperature of T1 = -20°C and a quality of 70%. Heat is added to the system causing the piston to rise until it just touches Spring 1, but Spring 1 exerts no force on the piston. In this state (state 2), the R-134a has a volume V2 = 30 L. Heating continues until the temperature reaches T3 = 50 °C and Spring 1 is compressed until the piston just touches Spring 2, but Spring 2 exerts no force on the piston (State 3). Heating continues again, compressing both springs until a final pressure is reached (state 4) of P4 = 190 kPa. The cross-sectional area of the piston is 0.3 m.

A piston-cylinder system contains R-134a as shown in the figure. Two linear springs with the same spring constant but different lengths are installed above the frictionless piston. Initially (state 1) the piston is motionless and floating so that the top of the piston is 2 cm from the bottom of Spring 1 and 5 cm from the bottom of Spring 2. In this initial state the R-134a has a temperature of T1 = -20°C and a quality of 70%. Heat is added to the system causing the piston to rise until it just touches Spring 1, but Spring 1 exerts no force on the piston. In this state (state 2), the R-134a has a volume V2 = 30 L. Heating continues until the temperature reaches T3 = 50 °C and Spring 1 is compressed until the piston just touches Spring 2, but Spring 2 exerts no force on the piston (State 3). Heating continues again, compressing both springs until a final pressure is reached (state 4) of P4 = 190 kPa. The cross-sectional area of the piston is 0.3 m.

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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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Calculate the spring constant, k, in kN/m.

A piston-cylinder system contains R-134a as shown in the figure. Two linear springs with the same
spring constant but different lengths are installed above the frictionless piston. Initially (state 1)
the piston is motionless and floating so that the top of the piston is 2 cm from the bottom of Spring
1 and 5 cm from the bottom of Spring 2. In this initial state the R-134a has a temperature of T, =
-20°C and a quality of 70%. Heat is added to the system causing the piston to rise until it just
touches Spring 1, but Spring 1 exerts no force on the piston. In this state (state 2), the R-134a has
a volume V2 = 30 L. Heating continues until the temperature reaches T3 = 50 °C and Spring 1 is
compressed until the piston just touches Spring 2, but Spring 2 exerts no force on the piston (State
3). Heating continues again, compressing both springs until a final pressure is reached (state 4) of
P4 = 190 kPa. The cross-sectional area of the piston is 0.3 m?.
Calculate the spring constant, k, in kN/m.
Spring 2
Spring 1
h2
h,
Piston
he
R-134a

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