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lecture3-Vectors

# lecture3-Vectors - 2-21 Determine the angle for connecting...

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2-21 Determine the angle θ for connecting member B to the plate so that the resultant of F A and F B is directed along the positive x axis. What is the magnitude of the resultant force?

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2-51 Determine the magnitude of force F so that the resultant F R of the three forces is as small as possible. What is the minimum magnitude of F R ? VECTOR ADDITION USING EITHER THE PARALLELOGRAM LAW OR TRIANGLE Parallelogram Law: Triangle method (always ‘tip to tail’): Determine the x and y components of r CA . Problem 2.1 Determine the magnitude of the resultant force F R = F 1 + F 2 and its direction, measured counterclockwise from the positive x axis.
Summary Add up several vectors – Resolve each vector along the x and y axes. – Add up the x and y components respectively – Sketch the resultant x and y components and find out the magnitude and direction of the resultant vector. Next Lecture & Homework Next Lecture – 3-D Vectors : Chapter 2.5 • Homework – Problem 2. (1, 3, 21, 47, 50, 51, 27*, 28* )

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