Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Chapter 2, Problem 26P
To determine
Derive the
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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?
Problem 3: The inertia matrix can be written in dyadic form which is particularly useful
when inertia information is required in various vector bases. On the next page is a right
rectangular pyramid of total mass m. Note the location of point Q.
(a) Determine the inertia dyadic for the pyramid P, relative to point Q, i.e., 7%, for unit
vectors ₁₁, 2, 3.
Chapter 2 Solutions
Elements Of Electromagnetics
Ch. 2.4 - Prob. 1PECh. 2.4 - Prob. 2PECh. 2.5 - Prob. 3PECh. 2.5 - Prob. 4PECh. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Prob. 4RQCh. 2 - Prob. 5RQCh. 2 - Prob. 6RQ
Ch. 2 - Prob. 7RQCh. 2 - Prob. 8RQCh. 2 - Prob. 9RQCh. 2 - Prob. 10RQCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 15PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34P
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