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The system shown in figure moves freely throughout the axis longitudinal (x3-X2)² a. Show the Lagrangian is L = " (xỉ + x}) +"x3 – k **1)* _ k %3=%2}² b. Calculate the normal frequencies and coordinates. c. Find the positon of masses as a function of time. M (x2-X1)² 2

The system shown in figure moves freely throughout the axis longitudinal (x3-X2)² a. Show the Lagrangian is L = " (xỉ + x}) +"x3 – k **1)* _ k %3=%2}² b. Calculate the normal frequencies and coordinates. c. Find the positon of masses as a function of time. M (x2-X1)² 2

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The system shown in figure moves freely throughout the axis longitudinal (x3-X2)² a. Show the Lagrangian is L = " (xỉ + x}) + x3 – k *2-*1)² b. Calculate the normal frequencies and coordinates. c. Find the positon of masses as a function of time. d. while the system is immobile, if the mass at the center starts the motion with Vo velocity at t=0; write enough number of the equations to make possible in order to calculate the integration constants taken part in the solution in (c). 2 2 M m k k X1 X2 X3
Transcribed Image Text:The system shown in figure moves freely throughout the axis longitudinal (x3-X2)² a. Show the Lagrangian is L = " (xỉ + x}) + x3 – k *2-*1)² b. Calculate the normal frequencies and coordinates. c. Find the positon of masses as a function of time. d. while the system is immobile, if the mass at the center starts the motion with Vo velocity at t=0; write enough number of the equations to make possible in order to calculate the integration constants taken part in the solution in (c). 2 2 M m k k X1 X2 X3
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