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The derivation of the equations of motion for a system with two masses, m1 and m2. The goal is to find the equation of motion for the displacement x, which is a function of the difference between the two masses and their sum. The step-by-step integration process to obtain the final equation, which includes the initial velocity vo and the initial position xo. This analysis can be useful for understanding the principles of classical mechanics and the application of differential equations to describe the motion of physical systems. The document could be relevant for students studying topics such as newtonian mechanics, dynamics, and mathematical methods in physics, particularly in the context of undergraduate-level courses in physics or engineering.
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Reyes Diego Maricarmen Fisica del movimiento aplicada 1AM Tarea 3 Encontrar la ecuacion del movimiento de:
¨x =
m 2 − m 1 m 1 + m 2
con la FormulaR Cdt = Ct + C 1
Integrar
x ˙ =
m 2 − m 1 m 1 + m 2
Para t = 0 tenemos V (o) = Vo
x ˙ =
m 2 − m 1 m 1 + m 2
x ˙ =
m 2 − m 1 m 1 + m 2
t + C 1
con la Formula R Ctdt =
Ct^2 2
Integrar
X =
m 2 − m 1 m 1 + m 2
t^2 2
X =
m 2 − m 1 m 1 + m 2
t^2 2
Para t = 0 tenemos X(o) = Xo
X(0) =
m 2 − m 1 m 1 + m 2
X =
m 2 − m 1 m 1 + m 2
