
Elements of Electromagnetics
7th Edition
ISBN: 9780190698669
Author: Sadiku
Publisher: Oxford University Press
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Chapter MA, Problem 4.5MA
To determine
To prove: The trigonometric identity
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Problem 11: The lamp has a weight of 15 lb and is supported by the six cords connected
together as shown. Determine the tension in each cord and the angle 0 for equilibrium.
Cord BC is horizontal.
E
30°
B
60°
A
Problem 10: If the bucket weighs 50 lb, determine
the tension developed in each of the wires.
B
$30°
5
E
D
130°
Problem 3: Four-Force Equilibrium
Knowing the forces in members A and C, determine the force of B and D, assuming the
system is in equilibrium. A structural joint is held in equilibrium by four forces acting along
different members.
•
Member A applies a force of 4 kN at an angle of 60° above the positive x-axis.
•
Member C applies a force of 2 kN horizontally to the left along the x-axis.
•
Member B applies an unknown force along the horizontal direction.
•
Member D applies an unknown force at an angle of 45° above the negative x-axis.
Determine the forces in members B and D, assuming the system is in static equilibrium.
4 kN
2 kN
C
45°
A
D
60°
FB
B
Chapter MA Solutions
Elements of Electromagnetics
Ch. MA - Prob. 1.1MACh. MA - Prob. 1.2MACh. MA - Prob. 1.3MACh. MA - Prob. 1.4MACh. MA - Prob. 1.5MACh. MA - Prob. 1.6MACh. MA - Prob. 1.7MACh. MA - Prob. 1.8MACh. MA - Prob. 1.9MACh. MA - Prob. 1.10MA
Ch. MA - Prob. 1.11MACh. MA - Prob. 1.13MACh. MA - Prob. 1.14MACh. MA - Prob. 1.15MACh. MA - Prob. 2.1MACh. MA - Prob. 2.6MACh. MA - Prob. 2.7MACh. MA - Prob. 2.8MACh. MA - Prob. 3.1MACh. MA - Prob. 3.2MACh. MA - Prob. 3.4MACh. MA - Prob. 4.1MACh. MA - Prob. 4.2MACh. MA - Prob. 4.3MACh. MA - Prob. 4.4MACh. MA - Prob. 4.5MACh. MA - Prob. 4.6MACh. MA - Prob. 4.7MACh. MA - Prob. 4.8MACh. MA - Prob. 4.9MACh. MA - Prob. 4.10MACh. MA - Prob. 4.13MACh. MA - Prob. 4.14MACh. MA - Prob. 4.16MA
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- Problem 18: Determine the force in each member of the truss. State if the members are in tension or compression. 3 ft 3 ft 3 ft B D 4 ft 4 ft. 130 lb Earrow_forwardProblem 16: Determine the force in each of the member of the truss and state if the members are in tension or compression. Set P₁ = 10 kN, P2 = 8 kN. 2 m G F E A A 1 m B 2 m 1 m P1 Darrow_forwardProblem 7: Determine the force in each cord for equilibrium of the 60-kg bucket. D E 4 m 4 m B 3 m- 3 m- 3 m.arrow_forward
- Problem 15: Determine the reactions at the pin A and the tension in cord BC. Set F = 40 kN. Neglect the thickness of the beam. 26 kN F 13 12 -2 m 4 m B 4arrow_forwardProblem 21: Determine the force in members EF, CF, and BC and state if the members are in tension or compression. 1.5 m 4 kN E D 8 kN B 2 m 2 marrow_forwardProblem 8: If the cords suspend the two buckets in the equilibrium position, determine the weight of bucket B. Bucket A has a weight of 60 lb. E 65° C 20° 40° F B 20° Aarrow_forward
- Problem 4: Four Force Equilibrium The members of a truss are connected at joint O. Determine the magnitudes of F₁ and F2 for equilibrium, assuming 0 = 60°. 5 kN 7 kN 70° 30°arrow_forwardProblem 17: Determine the force in each member of the truss and state if the members are in tension or compression. Set P₁ = 9 kN, P2 = 15 kN. P₁ 3 m B P2 3m- D 4 marrow_forwardProblem (11): A pipe discharges an unknown fluid into the atmosphere from a tank of depth (h) through a pipe of length (L), and diameter (d). Given the values of L [m], d [cm], and (h) [cm], calculate the discharge rate (Q) [lit/s] that would maintain Laminar flow in the pipe with a Reynolds number of Re=1500. Ignore minor losses. h darrow_forward
- Problem 6: Two-Force Equilibrium Determine the angle 0 for connecting member B to the plate so that the resultant angle of FA and FB is directed along the positive x axis. What is the magnitude of the resultant force? -30° FA = 400 lb B x FB = 500 lbarrow_forwardStaticsarrow_forwardProblem 12: Determine the moment about point O. And determine if it is clockwise or counterclockwise? 0.4 m 45° 0.3 m F=300 N 30°arrow_forward
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