Question

derive newtons three laws from Lagrangian formulation of classical mechanics

Answer #1

Starting from Schrodinger 's Equation formulation of Quantum
Mechanics. Derive Feynman"s P.I formulation

How does “work” in classical mechanics differ from “work” in
everyday life?

classical Mechanics problem:
Suppose some particle of mass m is confined to move, without
friction, in a vertical plane, with axes x horizontal and y
vertically up. The plane is forced to rotate with angular velocity
of magnitude Ω about the y axis. Find the equation of motion for x
and y, solve them, and describe the possible motions. This is not
meant to be a lagrangian problem.

Goldstein Classical Mechanics, 3rd Edition. Chapter 6; exercise
3 Question: A bead of mass m is constrained to move on a hoop of
radius R.The hoop rotates with constant angular velocity small
omega around a diameter of the hoop,which is a vertical axis (line
along which gravity acts). (a) set up the Lagrangian and obtain the
equations of motion of the bead. (b) Find the critical angular
velocity large/capital omega below which the bottom of the hoop
provides a stable...

Taylor Classical Mechanics: In Section 9.8, we discussed the
path of an object that is dropped from a very tall step ladder
above the equator. (a) Sketch this path as seen from a tower to the
north of the drop and fixed to the earth. Explain why the object
lands to the east of its point of release. (b) Sketch the same
experiment as seen by an inertial observer floating in space to the
north of the drop. Explain clearly...

This is Problem 4.53 from John Taylor Classical Mechanics
(a) Consider an electron (charge -e and mass m) in a circular
orbit of radius r around a fixed proton (charge +e). Remembering
that the inward Coulomb force ke²/r² is what gives the electron its
centripetal acceleration, prove that the electron's KE is equal to
-1/2 times its PE; that is, T = -1/2 U and hence E = 1/2 U. Now
consider the following inelastic collision of an electron with...

Describe Kepler's three laws and how they differ from the
proposed thories of planetary motion.

4 Inference proofs
Use laws of equivalence and inference rules to show how you can
derive the conclusions from the given premises. Be sure to cite the
rule used at each line and the line numbers of the hypotheses used
for each rule.
a) Givens:
1 a∧b
2 c → ¬a
3 c∨d
Conclusion: d
b) Givens
1 p→(q∧r)
2 ¬r
Conclusion ¬p

Analyze two to three specific benefits that students can derive
from the addition of audiovisual enhancements to traditional
training methods

2 Equipartition The laws of statistical mechanics lead to a
surprising, simple, and useful result — the Equipartition Theorem.
In thermal equilibrium, the average energy of every degree of
freedom is the same: hEi = 1 /2 kBT. A degree of freedom is a way
in which the system can move or store energy. (In this expression
and what follows, h· · ·i means the average of the quantity in
brackets.) One consequence of this is the physicists’ form of...

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