statics exam 1

vectors

quantities that have magnitude and direction

scalars

only have magnitude (with units)

the components of the unit vector are the

cosines of the angles it makes with each axis

unit vector

vector of magnitude 1 and no units

what does the unit vector represent

direction

absolute vectors

start at the origin

relative vectors

do not start at the origin

equivalent vectors

have the same magnitude and direction

position vectors

have units of length

position vectors

can indicate the direction of a force

position vectors

can indicate where an object is relative to a force

force vectors

have units of force

forces in 2D are coplanar because

they exist only in one plane

concurrent

forces who’s line of action intersect

colinear

forces that have the same line of action

tension

a pulling force

compression

a pushing force

mechanical advantage

the ability to apply a large force by using a small force

springs

materials that change shape when a force is applied and then return to their original shape when that force is removed

what is the concept of springs called

elasticity

what is k

spring constant

the condition to ensure an object at rest stays at rest is that

the sum of all the forces acting on it equals zero

vector equilibrium equation

∑F=0

how are F, k, and L related

F = k∆L