Two springs, two masses, and a dashpot are attached in a

Chapter 5, Problem 4E

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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}

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

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