Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 10, Problem 69P
(a)
To determine
ToCalculate: The
(b)
To determine
ToCalculate: The
(c)
To determine
ToCalculate: The time take for the axle to swing through
(d)
To determine
ToCalculate: The angular momentum associated with the motion of the center of mass, that is, due to the precession and the direction of this angular momentum.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 10 Solutions
Physics for Scientists and Engineers
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