1 / 12

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

barnabas-sean
Download Presentation

Announcements:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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:

More Related