Newtonian and Hamiltonian mechanics are equivalent, however we usually use the latter because: Group of answer choices - It provides different information - It is more general - Its equations are easier to write, especially for complex systems - It is also related with the Lagrangian Need help solving!!!! Thank you!
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- i need the answer quicklyLet L be the angular momentum of a system of particles relative to a frame with origin at O, and let L' be the angular momentum of the system relative to a frame with origin O' at the CM. Prove that L = L'+R x P, (1) MR with M the total where R is the position vector of O' relative to O and P = mass of the system.Problem 2 The relativistic Lagrangian for a particle of rest mass m moving along the x-axis in a potential V(x) is given by 2 L = -mc² 1 V(x) c2 (a) Derive the Euler-Lagrange equation of motion. (b) Show that it reduces to Newton's equation in the limit |*| << c. (c) Compute the Hamiltonian H of the system. Eliminate ȧ from the Hamiltonian by using the equation ƏL p = ax and write H = H(p, x) as a function of x and p only.