3.10 Exerdse(b) Using the cross product of position and force vectors, generatdetermine an expression for the moment generated by F M.about point A in terms of a, b, and F.(c) If a b= 30 cm and F = 20 N, calculate the magni-tude of the moment about point A due to F.%3DwrenchDete%3Dof theAnswers: (b) MA=-bFj, (c) M, = 6 N-m.AnswerProble m 3.10 As shown in Fig 3.38, consider a workerusing a special wrench to tighten bolts. The couple moment is Problem 3.9 Consider the L-shaped beam illustrated inFig 3.37. The beam is mounted to the wall at point A, theC,arm AB extends in the z direction, and the arm BC extendsofin the x direction, A force Fis applied in the z direction atthe free-end of the beam.ONN isakes(a) If the lengths of arms AB andBC are a and b, respectively,and the magnitude of the applied force is F, observe thatthe position vector of pointC relative to point A can bewritten as r= bị + ak afd the force vector can beexpressed as FE= Fk where L J, and k are unit vectorsndic ating positive x, y, and z directions, respectively.mentB.Fig. 3.37 I'robkm 39PrtScInsertDeleteF8F9F10F11F12&Backsp7 V94* CO

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Problem 3.9 Consider the L-shaped beam illustrated in Fig. 3.37. The beam is mounted to the wall at point A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A force F is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB andBC are a and b, respectively, and the magnitude of the applied force is F, observe that the position vector of pointC relative to point A can be written as r= bị + ak and the force vector can be expressed as F = Fk, where ij, and k are unit vectors indic ating positive x, y, and z directions, respectively. A B Fig. 3.37 Probkem 39

Problem 3.9 Consider the L-shaped beam illustrated in Fig. 3.37. The beam is mounted to the wall at point A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A force F is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB andBC are a and b, respectively, and the magnitude of the applied force is F, observe that the position vector of pointC relative to point A can be written as r= bị + ak and the force vector can be expressed as F = Fk, where ij, and k are unit vectors indic ating positive x, y, and z directions, respectively. A B Fig. 3.37 Probkem 39

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Topic Video

Question

3.10 Exerdse
(b) Using the cross product of position and force vectors, generat
determine an expression for the moment generated by F M.
about point A in terms of a, b, and F.
(c) If a b= 30 cm and F = 20 N, calculate the magni-
tude of the moment about point A due to F.
%3D
wrench
Dete
%3D
of the
Answers: (b) MA=-bFj, (c) M, = 6 N-m.
Answer
Proble m 3.10 As shown in Fig 3.38, consider a worker
using a special wrench to tighten bolts. The couple moment

is Problem 3.9 Consider the L-shaped beam illustrated in
Fig 3.37. The beam is mounted to the wall at point A, the
C,
arm AB extends in the z direction, and the arm BC extends
of
in the x direction, A force Fis applied in the z direction at
the free-end of the beam.
ON
N is
akes
(a) If the lengths of arms AB andBC are a and b, respectively,
and the magnitude of the applied force is F, observe that
the position vector of pointC relative to point A can be
written as r= bị + ak afd the force vector can be
expressed as FE= Fk where L J, and k are unit vectors
ndic ating positive x, y, and z directions, respectively.
ment
B.
Fig. 3.37 I'robkm 39
PrtSc
Insert
Delete
F8
F9
F10
F11
F12
&
Backsp
7 V
94
* CO

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