Part 1: The equation of motion of a classical simple pendulum can be derived using Newton's law or classical Hamiltonian theory. For the second case, the Hamiltonian is: (i) (ii) (111) (iv) (v) p²_mo²x² 2m 2 p² mo²x² 2m 2 p² max² m 2 P² +mox²³x² 2m _p²_mo²³x² 2m 2
Part 1: The equation of motion of a classical simple pendulum can be derived using Newton's law or classical Hamiltonian theory. For the second case, the Hamiltonian is: (i) (ii) (111) (iv) (v) p²_mo²x² 2m 2 p² mo²x² 2m 2 p² max² m 2 P² +mox²³x² 2m _p²_mo²³x² 2m 2
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Part 1: The equation of motion of a classical simple pendulum can be derived using Newton's
law or classical Hamiltonian theory. For the second case, the Hamiltonian is:
(1)
(ii)
(iii)
(iv)
2m
p²_max²
+
2
2m
2
p²_ma³²x²
2
m
max²
2
2m
+
-max²x²
p² mo²x²
+
2m
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5635404c-0d12-4aad-88e5-9c30f2fd4289%2F62305247-126c-440f-ab38-38d68131e611%2F2asqcne_processed.png&w=3840&q=75)
Transcribed Image Text:Part 1: The equation of motion of a classical simple pendulum can be derived using Newton's
law or classical Hamiltonian theory. For the second case, the Hamiltonian is:
(1)
(ii)
(iii)
(iv)
2m
p²_max²
+
2
2m
2
p²_ma³²x²
2
m
max²
2
2m
+
-max²x²
p² mo²x²
+
2m
2
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