Solution Found!
Answer: Derive the system of differential equations describing the straight-line
Chapter 4, Problem 14(choose chapter or problem)
Derive the system of differential equations describing the straight-line vertical motion of the coupled springs shown in equilibrium in FIGURE 4.6.4. Use the Laplace transform to solve the system when \(k_{1}=1, k_{2}=1, k_{3}=1, m_{1}=1, m_{2}=1\) and \(x_{1}(0)=0, x_{1}^{\prime}(0)=-1, x_{2}(0)=0, x_{2}^{\prime}(0)=1 .\)
Questions & Answers
QUESTION:
Derive the system of differential equations describing the straight-line vertical motion of the coupled springs shown in equilibrium in FIGURE 4.6.4. Use the Laplace transform to solve the system when \(k_{1}=1, k_{2}=1, k_{3}=1, m_{1}=1, m_{2}=1\) and \(x_{1}(0)=0, x_{1}^{\prime}(0)=-1, x_{2}(0)=0, x_{2}^{\prime}(0)=1 .\)
ANSWER:
Step 1 of 3
The system of differential equation that describes the motion of two masses 
Given,
To solve the system for the initial conditions
For the given values of 
