Statics

Question 0

Right hand rule

Answer 0

Z- index
Y- thumb
X- middle

Any orientation thereof

Question 1

3d coordinate system

Answer 1

Graphical representation of x,y,z

I, j, k in vectors

Question 2

Dynamic Equilibrium

Answer 2

The object moves at a constant acceleration in a linear direction, described in a force vector with magnitude as the product of acceleration and mass

Question 3

Static Equlibrium

Answer 3

An object doesnt accelerate in any direction

Question 4

Acceleration Vector

Answer 4

Magnitude of the net force vector divided by object mass, in the direction of net force

|ΣF|/m=|a|

Question 5

Force Vector

Answer 5

Product of the mass and the magnitude of the net acceleration vector, in the direction of the of net acceleration

|F|=|Σa|*m

Question 6

Calculating vector magnetides

Answer 6

Find the vector magnitude that is already given
Find the planar angle measure from this vector to the next one
Use cosθ=a/h
Calculate missing vector magnetude

Question 7

Force Components

Answer 7

Calculate angle measure from each vector to each coordinate component: x,y, and z
Use cosθ=a/h
Add each net coordinate Σx, Σy, Σz

Question 8

Resultant Force Vector

Answer 8

Calculate each net coordinate Σx, Σy, Σz
Write as (ΣXi, ΣYj, ΣZk)

Question 9

Magnitude of resultant vector from i j k components

Answer 9

Think of (ΣXi, ΣYj, ΣZk) as cartesian coordinates
Find angle measure from x ΣYj/ΣXi=Tanθ
Calculate cylindrical radius as ΣXi/cosθ=r
Find elevation angle from ΣZk/r=Tanϕ
Calculate spherical radius from elevation with R=r/cosϕ
R is resultant force magnitude