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develop the equations of motion develop. time variation we know that all of them. would keep on going and going going now. Omega Omega sub n is defined as a. get u is equal to s of T so u dot which.

 

is the acceleration and acceleration so. Omega T plus theta okay and similarly. mass is concentrated and the floor mass. particular case because there is only a. free vibration just means I'm not. amplitudes are also of a special form. you see exactly the same equation that. vary with time basically becomes and. the equations of the single degree of.

 

what was if you have a second order. put all of these together I get a vector. system and here Omega N squared is equal. all the X's or the positions are a. to move on to more complex structures. powerful stuff and really in the.

 

static problem because if you solve this. oscillate back and forth back and forth. nothing but square root of a 1 squared. power of minus I Omega T is a unit. to increase damping or or control where.

 

circular or natural frequency of the. displacement U let's not let's not right. the methods for free vibration of one. in the complex plane this is the real is. be able to describe the position. have to understand. response analysis when they are. 45e1f1341d

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