Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Chapter 4, Problem 60P
To determine
The potential at
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Question 1.
A tube rotates in the horizontal ry plane with a constant angular velocity w about the z-axis. A
particle of mass m is released from a radial distance R when the tube is in the position shown.
This problem is based on problem 3.2 in the text.
R
m
2R
Figure 1
x
a) Draw a free body diagram of the particle if the tube is frictionless.
b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the
tube and the particle is = k = p.
c) For the case where the tube is frictionless, what is the radial speed at which the particle
leaves the tube?
d) For the case where there is friction, derive a differential equation that would allow you to
solve for the radius of the particle as a function of time. I'm only looking for the differential
equation. DO NOT solve it.
1
e) If there is no friction, what is the angle of the tube when the particle exits?
• Hint: You may need to solve a differential equation for the last part. The "potentially
useful…
Question 2.
A smooth uniform sphere of mass m and radius r is squeezed between two massless levers, each of
length 1, which are inclined at an angle with the vertical. A mechanism at pivot point O ensures
that the angles & remain the same at all times so that the sphere moves straight upward. This
problem is based on Problem 3-1 in the text.
P
P
r
Figure 2
a) Draw appropriate freebody diagrams of the system assuming that there is no friction.
b) Draw appropriate freebody diagrams of the system assuming that there is a coefficient of
friction between the sphere and the right lever of μ.
c) If a force P is applied between the ends of the levers (shown in the diagram), and there is no
friction, what is the acceleration of the sphere when = 30°
If you had a matrix A = [1 2 3; 4 5 6; 7 8 9] and a matrix B = [1 2 3], how would you cross multiply them i.e. what is the cross product of AxB. what would be the cross product of a dyadic with a vector?
Chapter 4 Solutions
Elements Of Electromagnetics
Ch. 4.2 - Prob. 1PECh. 4.2 - Prob. 2PECh. 4.2 - Prob. 3PECh. 4.3 - Prob. 4PECh. 4.3 - Prob. 5PECh. 4.3 - Prob. 6PECh. 4.4 - Prob. 7PECh. 4.6 - Prob. 8PECh. 4.6 - Prob. 9PECh. 4.7 - Prob. 10PE
Ch. 4.7 - Prob. 11PECh. 4.8 - Prob. 12PECh. 4.9 - Prob. 13PECh. 4.10 - Prob. 14PECh. 4.10 - Prob. 15PECh. 4 - Prob. 1RQCh. 4 - Prob. 2RQCh. 4 - Prob. 3RQCh. 4 - Prob. 4RQCh. 4 - Prob. 5RQCh. 4 - Prob. 6RQCh. 4 - Prob. 7RQCh. 4 - Prob. 8RQCh. 4 - Prob. 9RQCh. 4 - Prob. 10RQCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69P
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