Chapter 2 Force Vectors [STATICS]

"Force is a type of vector."

What are the significances of this statement

[Choose ALL which applicable]

• It has only magnitude

• It has only direction

• It has both magnitude AND direction

• It requires special notations

• It can be expressed in the form of vector components

How to find a resultant of vectors?

• Using cuboid law

• Using Newton's law

• Using parallelogram law AND/OR triangle method

• Do nothing

What does it mean by coplanar forces?

• All forces lying on the same plane

• All lines of action of forces intersect at a common point

• These forces are in space (three dimensional)

Which one is NOT among steps to find the resultant of coplanar forces?

• Resolve into x and y components

• Addition by scalar algebra of respective components

• Find magnitude and angle of the resultant

• Sum up each force magnitude in scalar form

Choose ALL correct explanation(s) of Cartesian vectors

• The vectors are in space (3D)

• Represented by x-y-z axis system

• Represented by only x-y axis system

• Has similar addition and subtraction rules as in 2D coplanar

In both cases of coplanar and Cartesian, where should the origin (0,0,0) be located?

• At the tip of force vector

• At the tail of force vector

• In the middle of force vector

• Anywhere is acceptable

How do we define coordinate direction angles ( $\alpha,\ \beta\ and\ \gamma$ ) in Cartesian vectors?

• Between the vector and POSITIVE x, y and z axis respectively

• Between the vector and NEGATIVE x, y and z axis respectively

• Between the vector and either POSITIVE OR NEGATIVE x, y and z axis respectively

How do we determine x, y and z coordinate system?

• Following intuition

• By using right-hand rule

• Any coordinate direction is acceptable

What does position vector tell us?

• One of ways to find unit vector

• Distance between two points in space

• Location of a point in space relative to another point

Explain unit vector

[Choose ALL which applicable]

• Dimensionless

• Has a magnitude of unity

• Shows only the vector's direction

• Useful to express force in complete vector form