Example 4.2 The uniform, horizontal beam shown in Fig. 4.14 is hinged to the ground at point A. A frictionless roller is placed between the beam and the ceiling at point D to constrain the counterclockwise rotation of the beam about the hinge joint. A force that makes an angle ß = 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 1,000 N. Point C represents the center of gravity of the beam. The distance between points A and B is l= 4m and the distance between points A and D is d = 3 m. The beam weighs W = 800 N. Calculate the reactions on the beam at points A and D. %3D A C D B d

Example 4.2 The uniform, horizontal beam shown in Fig. 4.14 is hinged to the ground at point A. A frictionless roller is placed between the beam and the ceiling at point D to constrain the counterclockwise rotation of the beam about the hinge joint. A force that makes an angle ß = 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 1,000 N. Point C represents the center of gravity of the beam. The distance between points A and B is l= 4m and the distance between points A and D is d = 3 m. The beam weighs W = 800 N. Calculate the reactions on the beam at points A and D. %3D A C D B d

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Example 4.2 The uniform, horizontal beam shown in
Fig. 4.14 is hinged to the ground at point A. A frictionless
roller is placed between the beam and the ceiling at point D
to constrain the counterclockwise rotation of the beam about
the hinge joint. A force that makes an angle ß = 60° with the
horizontal is applied at point B. The magnitude of the
applied force is P = 1,000 N. Point C represents the center
of gravity of the beam. The distance between points A and B
is l= 4 m and the distance between points A and D is
%3D
d = 3 m. The beam weighs W = 800 N.
Calculate the reactions on the beam at points A and D.
A
C
D
В
d
Fig. 4.14 Example 4.2

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Example 4.5 Consider the uniform, horizontal beam shown in Fig. 4.29. The beam is fixed at point A and a force that makes an angle ß = 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 100 N. Point C is the center of gravity of the beam. The beam weighs W Determine the reactions generated at the fixed end of the = 50 N and has a length l = 2 m. beam. P A C В Fig. 4.29 Example 4.5