Physics, 15.04.2020 05:19 bjbass899

The Lagrangian for a system of one degree of freedom can be written: L = m 2 (q_2sin2!t + q_q!sin2!t + q2!2): a) What is the corresponding Hamiltonian? Is it conserved? b) Introduce a new coordinate de ned by Q = qsin!t. Find the

(a) Find the equations of motion by using Lagrange's equation and interpret the equations by giving a physical interpretation of the forces acting on the particle. (c) Find the canonical momentum and construct the Hamiltonian. Is this Hamiltonian a constant of the motion? (d) Introduce a new coordinate defined by Q = q sin omega t. Find the Lagrangian in terms of the new coordinate and the corresponding Hamiltonian. Is this new Hamiltonian a constant of the motion?

Answers: 1

Show answers

Another question on Physics

Physics, 22.06.2019 04:00

Which configuration would produce an electric current? a) rotate a coil of copper wire between two magnets. b) connect a wire between a copper and zinc strip sitting in a beaker of water. c) connect a wire to the (+) positive end of a battery and the other end to a light bulb. d) connect a wire to the negative end of a battery and the other end to a light bulb.

Answers: 2

Answer

Physics, 22.06.2019 11:10

Consider an insulating crystal, made up of layers of atoms. what form would you expect the temperature dependence of the phonon heat capacity to approach at extremely low temperatures if the interlayer coupling is i)very strong (rigid coupling), and ii) very weak. explain.

Answers: 3

Answer

Physics, 22.06.2019 16:40

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".

Answers: 3

Answer

Physics, 22.06.2019 17:30

Aparticle moves in a circle 1.50 m in radius . through what angle in radians does it rotate if it moves through an arc length of 2.50m? what is the angle in degrees?

Answers: 1

Answer

You know the right answer?

The Lagrangian for a system of one degree of freedom can be written: L = m 2 (q_2sin2!t + q_q!sin2!t...

Questions