Q1: A Y- shaped masslesswire with two arms at 45° isfree to rotate around a vertical45°maxis. A small bead of mass mis free to slide on one arm ofΩthe wire.a) Write down theLagrangian for the system.b) Find two constants of motion.c) Find Lagrange equations of motion.d) Find the equilibrium position of the bead in termof.

Ql: A Y- shaped massless wire with two arms at 45° is free to rotate around a vertical 45° m axis. A small bead of mass m is free to slide on one arm of the wire. a) Write down the Lagrangian for the system. b) Find two constants of motion. c) Find Lagrange equations of motion. d) Find the equilibrium position of the bead in term of.

Ql: A Y- shaped massless wire with two arms at 45° is free to rotate around a vertical 45° m axis. A small bead of mass m is free to slide on one arm of the wire. a) Write down the Lagrangian for the system. b) Find two constants of motion. c) Find Lagrange equations of motion. d) Find the equilibrium position of the bead in term of.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.15P

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