Announcements:

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# Announcements: - PowerPoint PPT Presentation

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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Presentation Transcript
Announcements:
• 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).
VECTORS in 3-D Space
• Cartesian Vector Form
• Unit Vectors
• Position Vector
• Dot Product:
Cartesian Vector Form:
• Or using the unit vector eF:
• If
• Remember that
Unit Vector from Coordinates
• If coordinates of position are given, e.g. (dx,dy,dz)
• Magnitude of vector d:
• Then:
Direction of vector F:
• Using Information of coordinates
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

Dot Product:
• Define as:
• Dot Product of two Vectors=Scalar.
Application of Dot Product
• Dot product of Unit Vectors:
• Dot Product of same Vector:
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

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

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