EPF Lecture Notes for Sections 2_5 - 2_6

# EPF Lecture Notes for Sections 2_5 - 2_6 - CARTESIAN...

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CARTESIAN VECTORS AND THEIR ADDITION & SUBTRACTION Today’s Objectives : Students will be able to: a) Represent a 3-D vector in a Cartesian coordinate system. b) Find the magnitude and coordinate angles of a 3-D vector c) Add vectors (forces) in 3-D space

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APPLICATIONS In this case, the power pole has guy wires helping to keep it upright in high winds. How would you represent the forces in the cables using Cartesian vector form? Many structures and machines involve 3- Dimensional Space.
APPLICATIONS (continued) In the case of this radio tower, if you know the forces in the three cables, how would you determine the resultant force acting at D, the top of the tower?

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CARTESIAN UNIT VECTORS Characteristics of a unit vector : a) Its magnitude is 1. b) It is dimensionless (has no units). c) It points in the same direction as the original vector ( A ). For a vector A , with a magnitude of A, an unit vector is defined as u A = A / A . The unit vectors in the Cartesian axis system are i , j , and k . They are unit vectors along the positive x, y, and z axes respectively.
CARTESIAN VECTOR REPRESENTATION Consider a box with sides A X , A Y , and A Z meters long. The vector

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EPF Lecture Notes for Sections 2_5 - 2_6 - CARTESIAN...

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