[Computer] Consider a system of carts and springs like

QUESTION:

[Computer] Consider a system of carts and springs like that in Figure 11.1 except that there are four equal-mass carts and five identical springs. Solve for the four normal frequencies, and find and describe the motion in the corresponding normal modes. [This can be solved without the aid of a computer, but it would probably be worth your while to learn how to evaluate determinants and to solve the characteristic equation using suitable computer software.]