2- Write Lagrangian equation of motion for a conservative system.
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- Assume that your dynamical system is controlled by the parameter P and that the Feigenbaum constant is roughly 5 (not 4.669...). You know that your system doubled its period at P = 10 and then again at P = 15. When will it double its period next?B6The system composed of two springs and a particle with mass ? shown in the figure can beconsidered as a system with a single equivalent spring. Suppose you move the particle and stretchboth springs (since the force constants are not the same, it cannot be assumed that both springs arestretch the same, you must find a relationship between how much each spring stretches and the displacement of the spring.particle). Determine an expression for the equivalent spring constant in terms of the constantsof each spring.
- Problem 4: Suppose you drive at a speed v which is 5 % lower than the resonance speed from Problem 3(a). Plot the solution of the initial value problem r(0) = 0, ¿(0) = 0 for the DE found in Problem 1 for this v. Comment! How would this ride end? a) Jet the velocity be v When you ca tch the body conservation a momentum Apply mexo +mpxVp (m 1mp) v n (atth) V: 0. C4a mkec "TOLwauds west Finally mä t bi tan = 0-026 28 con 19 + 0.024 Sin Resonance speed from 3(a) and the DE from Problem 1 included. Please provide the solution.AnilWhat is the slope of a dynamically-measured period vs the quantity: √(m/k) graph.
- The data given would be the following: 1(t) = -9.8 m/s2 and p(1)= 10 k and d(1) = 19.8 m/s. Using this, determine the position function p(t) using antiderivatives and the initial value data21:19 O .all ll + equilibrium of a particle (FBD).pdf 04m 1.5m 10/10(true /false) 1. body is three moment of inertia, body appears to rotate in such a way (w1 ,W2 + 0) that w is not constant 2. If Az between 12 1, ,then the Euler's equations became Equation ( ) harmonic motion.