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Two springs, two masses, and a dashpot are attached in a
Chapter 5, Problem 4E(choose chapter or problem)
Two springs, two masses, and a dashpot are attached in a straight line on a horizontal frictionless surface as shown in Figure 5.33. The dashpot provides a damping force on mass \(m_{2}\), given by \(F=b y^{\prime}\) .
Derive the system of differential equations for the displacements x and y.
Figure 5.33 Coupled mass–spring system with one end damped
Equation transcription:
Text transcription:
M{2}
F=b y^{prime}
Questions & Answers
QUESTION:
Two springs, two masses, and a dashpot are attached in a straight line on a horizontal frictionless surface as shown in Figure 5.33. The dashpot provides a damping force on mass \(m_{2}\), given by \(F=b y^{\prime}\) .
Derive the system of differential equations for the displacements x and y.
Figure 5.33 Coupled mass–spring system with one end damped
Equation transcription:
Text transcription:
M{2}
F=b y^{prime}
ANSWER:Solution
Step 1
In this problem, we have to derive the differential equation of the system for displacement of