Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 10, Problem 84P

(a)

To determine

ToCalculate: Theangular speed necessary to produce the observed intrinsic angular momentum of 2 .

(b)

To determine

ToShow: The speed of a point on the "equator" of a "spinning" electron.

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(a) Determine all possible projections onto the z-axis and the x-y plane of the total angular momentum vector where L² = 1(l + 1) and let l = 1. (b) While we know the magnitude of the angular momentum and its z-components, we do not know the direction in which the vector Îx + Îy points. Why is this so and to what region of space can it be known? (Hint: it might help to draw a picture).
The thin, homogeneous, circular disk B rotates about a fixed, frictionless axis O, located at its centre, with an angular velocity of ω = 2.5 rad/s (clockwise). Object Alands on the disk at the indicated position where θ = 53o, with an absolute velocity of 1.8 m/s at an angle of ψ = 25o as shown.  Determine the angular speed of disk Bimmediately after object A has landed and rotates with B. Take the mass of the object as mA = 5 kg and the radius of gyration about an axis passing perpendicularly through its centre of gravity as kG = 0.18 m. The mass of disk B is mB = 14 kg and its radius is R = 1.7 m. Initially object A is a distance of r = 1.1 m from the axis of rotation. Choose the correct answer: a) 2.500 rad/s b) 1.737 rad/s c) 2.088 rad/s d) 2.252 rad/s e) 1.642 rad/s
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