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
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.18P: For the ladder in Prob. 6.17, find the internal force system acting on section 2, assuming that x <...
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Transcribed Image Text: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.
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