Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305714892
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 10, Problem 10.12CQ
If a small sphere of mass M were placed at the end of the rod in Figure 10.21, would the result for ω be greater than, less than, or equal to the value obtained in Example 10.11?
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1. Image that two particles, a proton and an electron, are confined to move on circular rings of
fixed radius, r. For each particle, the kinetic energy can be written as
m
1
T = ² (vx² + v₂²) = = 1 w²
2
where the angular velocity, w = and the moment of inertia, I = mr², arise from
converting this expression from Cartesian to plane polar coordinates.
de
dt'
(a) Let the fixed radius for each particle be r= 100 pm. Suppose that both the proton and
the electron can be treated classically and that they happen to have the same angular
momentum, L = Iw. What would be the ratio of their angular velocities, electron?
@proton
(b) Now, suppose both the proton and the electron have the same angular velocity, w, and
the same angular momentum, L, but are on rings of different sizes. If the proton's ring
has radius r = 200 pm, what is the radius of the electron's ring (in pm)?
(c) For the case examined in part (a) (same ring with same angular momentum), what is the
ratio of the electron's kinetic…
Chapter 10 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
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