lukkio

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About lukkio

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  1. Modelling problem.

    Hello guys, i would like to submit a "physical modelling problem" which i'm facing. Suppose you have the following configuration space:   $$C = \left\{ q \in \mathbb{R} | -\frac{l}{2} \leq q \leq \frac{l}{2} \right\}$$   These DOG (Degree Of Freedom) describe the position of a material point inside a rod of length $$l$$. My problem is to make a newtonian model which describes immediate cancelletation of the velocity when the material point reaches the extremal point of the set.   Namely from a maths point of view, because then i want to derive a differential equation to solve, for obtain the trajectory of the material point. From a side have the idea of use the distribution theory, but from the other side i think is a complicated way to model such situation.   Can you help me in model such system?
  2. Simulation of a double rods system.

    If i write you the lagrangian i derived can you see if it is correct?
  3. Hello guys,   I'm new about analytic mechanic, so i'm try to model simple systems and then simulate their behaviour. Suppose to have two rods 'A' and 'B', of the same lenght 'l' and of same mass 'm'. Let's call P1 and P2 the A's end point, and P2 and P3 the B's end point, they have P2 in common. Moreover let's fix a framework {O,i,j}, and suppose a force F(t) (time depedent) is applied to P3, a generic time dependent but no positional dependent.   I specify the system is holonomic, ideal and bilateral constraits.   It's better for such system either write the lagrangian of the system and the solve the equation related numerically or write the dynamic cardinal equations and then solve it numerically?   PS. The whole system A U B is unconstrained.   PPS. Does this forum use latex for write equation? So i post my doubt.   Thank you