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السلام عليكم ورحمة الله وبركاته...

لدي مسائلتين في ميكانيكا لاجرانج وهاملتون وارغب في حلولها؟ "عاجلا"


المسألة الاولى:
A bead of mass m is constrained to slide along a thin circular hoop of

radius l that rotate rotates with constant angular velocity w in a horizontal
plane about a point on its rim؟

(a) Find Lagrange's function
(b) Use Lagrange equation and write the equation of motion.
(c) Show that the bead oscillates like a pendulum about the point on
the rim diametrically opposite the point about which the hoop
rotates

المسألة الثانية:

Find the Hamiltonian of two charges e1, and e2 (masses m1, m2) moving
in the electric field of an electric dipole. Use canonical Hamilton
equations of motion, and write the equations of motion.


ارغب في مساعدتي عاجلا بارك الله فيكم وجزاكم الله خيرا.......