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Announcements:

Announcements:. Important Read before class HMK will be assigned in class NO LATE HMK ALLOW Due date next class Use Cartesian Components: F x , F y , F z Discuss Problems Prob. 2.28 and Prob. 2.56 Maple has UNIX complex (case sensitive). VECTORS in 3-D Space. Cartesian Vector Form

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Announcements:

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  1. Announcements: • Important Read before class • HMK will be assigned in class • NO LATE HMK ALLOW • Due date next class • Use Cartesian Components: Fx, Fy, Fz • Discuss Problems • Prob. 2.28 and Prob. 2.56 • Maple has UNIX complex (case sensitive).

  2. VECTORS in 3-D Space • Cartesian Vector Form • Unit Vectors • Position Vector • Dot Product:

  3. Cartesian Vector Form: • Or using the unit vector eF: • If • Remember that

  4. Unit Vector from Coordinates • If coordinates of position are given, e.g. (dx,dy,dz) • Magnitude of vector d: • Then:

  5. Direction of vector F: • Using Information of coordinates

  6. Activity#1: Analytical (1) Find the Unit vector eF (2) Express F in cartesian vector form. z d(2,-4,3 F=100N y x

  7. Dot Product: • Define as: • Dot Product of two Vectors=Scalar.

  8. Application of Dot Product • Dot product of Unit Vectors: • Dot Product of same Vector:

  9. Activity#2: Maple • If position given: d1(3,-2.5,3.5)ft. • Find: (1) Magnitude of distance: (2) Unit vector z d1(3,-2.5,3.5) y x

  10. Activity#3: Maple (1) Find the Unit vector eF (2) Express F in cartesian vector form. z d(2,-4,3) F=100N y x

  11. Discuss Problem 2.80 • Discuss Analytical Approach • Position Vector: • Unit Vector from position vector • Resultant Force • Show Maple Solution • Problem 2.81 solved same way

  12. Final Period • Quiz #1: Vectors • Chapter #3: Statics of Particles • Free Body Diagram: FBD • Equilibrium Eqns:

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