2/18 Determine the components of the 2-kN force along the oblique axes a and b. Determine the projections of F onto the a- and b-axes.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2/18 Determine the components of the 2-kN force along
the oblique axes a and b. Determine the projections
of F onto the a- and b-axes.
2/21 It is desired to remove the spike from the timber by
applying force along its horizontal axis. An obstruc-
tion A prevents direct access, so that two forces, one
400 lb and the other P, are applied by cables as
shown. Compute the magnitude of P necessary to
ensure a resultant T directed along the spike. Also
F = 2 kN
find T.
Ans. P = 537 lb
T = 800 lb
P.
8"
60°
45°
A
6"
Problem 2/18
2/19 Determine the components of the 800-lb force F
along the oblique axes a and b. Also, determine the
projections of F onto the a- and b-axes.
Ans. Components: F. = 1093 lb, F, = 980 lb
400 lb
Projections: Fa = 400 lb, F, = 207 lb
Problem 2/21
F = 800 lb
2/22 At what angle 0 must the 800-lb force be applied in
order that the resultant R of the two forces has a
magnitude of 2000 lb? For this condition, determine
the angle B between R and the vertical.
60°
1400 lb
45°
800 lb
Problem 2/19
2/20 The 600-N force applied to the bracket at A is to be
replaced by two forces, F, in the a-a direction and F,
in the b-b direction, which together produce the same
effect on the bracket as that of the 600-N force.
Determine Fa and F,.
oblem 2/22
600 N
30°
60°
A
A
a
Problem 2/20
Transcribed Image Text:2/18 Determine the components of the 2-kN force along the oblique axes a and b. Determine the projections of F onto the a- and b-axes. 2/21 It is desired to remove the spike from the timber by applying force along its horizontal axis. An obstruc- tion A prevents direct access, so that two forces, one 400 lb and the other P, are applied by cables as shown. Compute the magnitude of P necessary to ensure a resultant T directed along the spike. Also F = 2 kN find T. Ans. P = 537 lb T = 800 lb P. 8" 60° 45° A 6" Problem 2/18 2/19 Determine the components of the 800-lb force F along the oblique axes a and b. Also, determine the projections of F onto the a- and b-axes. Ans. Components: F. = 1093 lb, F, = 980 lb 400 lb Projections: Fa = 400 lb, F, = 207 lb Problem 2/21 F = 800 lb 2/22 At what angle 0 must the 800-lb force be applied in order that the resultant R of the two forces has a magnitude of 2000 lb? For this condition, determine the angle B between R and the vertical. 60° 1400 lb 45° 800 lb Problem 2/19 2/20 The 600-N force applied to the bracket at A is to be replaced by two forces, F, in the a-a direction and F, in the b-b direction, which together produce the same effect on the bracket as that of the 600-N force. Determine Fa and F,. oblem 2/22 600 N 30° 60° A A a Problem 2/20
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