Class 4AT - ENGR 111 Week 2 ~ Wednesday Class 4 T. Pollock...

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ENGR 111 Week 2 ~ Wednesday Class 4 T. Pollock Fall, 2009
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2 You’ve done it. You’ll be surprised how much you remember. • Equilateral triangles • Isosceles triangles • Right triangles • Similar triangles
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3 Remember these ? Sine Rule: Cosine Rule: Memorization is a good thing!
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4 Convention x y + sin + cos + sin cos sin cos sin + cos θ θ θ θ
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5 VECTORS A vector is a mathematical concept which expresses r magnitude r direction Sometimes, we draw a vector accurately and dimension it. Sometimes, we sketch it “not to scale”. y x 70.0° 2 3 . 1 units = inches Always , it is placed within a defined coordinate system.
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6 VECTORS (2) y x 7.9 21.7 y x (0,0) (7.9,21.7) These figures convey almost the same information as seen on the previous slide, but something is missing. Units! Feet? Meters per second? You must specify!
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7 y x 5.4 27.0 11.8 19.6 y x (11.8,5.4) (19.6,27.0) VECTORS (3) units = inches • All of these sketches and notations convey the same information. • Often, neither end of the vector touches the origin of the global coordinate system. 23.1±(0.342 i + 0.939 j )
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8 VECTORS (4) Often, we sketch vectors instead of drawing accurately. When sketching a vector: • Make sure that the line is pointing in approximately the right direction. • Label the magnitude and
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Class 4AT - ENGR 111 Week 2 ~ Wednesday Class 4 T. Pollock...

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