Weight (W)
mg (mass x gravity)
Another name for weight
Fg
the equation for the vector sum of two vectors
√(x²+y²)
the equation for the angle of two vectors
tan⁻¹(y/x)
Whenever something changes direction, at one point velocity must hit ...
0
Slope of position graph gives ...
velocity
Slope of velocity graph gives ...
acceleration
Area under velocity graph gives ...
position
Area under acceleration gives ...
velocity
The acceleration of a projectile in the y = ___ and in the x = ___
-9.8; 0
when projectiles are at the peak, Y Velocity is ___, X is ____
0; still what it started as
Projectiles in a horizontal cliff problem, Vy initial = ___, Vx is ___
0; all of the velocity
Fgpara = ...
mgsinӨ
Fgperp = ...
mgcosӨ
Fn and Fgper
mgcosӨ
Friction =
μFN; μcosθ
Friction is not always ___, but it is always ___
μmg; μFN
Fcentripetal = ...
mv²/r
V = ...
2πr/T (ONLY IF SPEED IS CONSTANT)
G-force =
Fn/Fg
Force centripetal ALWAYS goes toward the ...
center
Acceleration due to gravity on a planet: g = ...
GM/r²
Energy: Ask 4 questions ...
is it moving?, does it have height?, is it on a spring?, is it spinning?
The equations for energy are ...
½mv², ½kx², ½ I⍵², mgh
Mechanical energy is ___ energy
useable
Perfectly elastic collision means ...
no energy is lost
inelastic means collision...
energy is lost
Any collision has to be analyzed using momentum, anything before or after the collision can use ___
energy
4 momentum equations
Imp=Ft=mΔv= change in momentum
Area under a Force vs Time graph is ...
impulse
Area under a Force vs Distance graph is ...
work
Radians to Revolutions to Degrees conversions
2π radians = 1 revolution = 360°
The rotational version of F=ma
τ=I𝛼
With statics (not moving) put the axis of rotation over ... force so ...
an unknown; that it is ZERO in your equation.
In rotational dynamics, Always solve for component of the ... to the lever arm, before using it as a ...
force perpendicular; torque
(in rotational energy) a =
αr
(in rotational energy) v =
⍵r
When something is spinning it has ...
½I⍵²
τθ =
½I⍵²
L =
I⍵
Relating linear and angular momentum: use ...
mvR
Area under a Torque vs Time graph is ...
Angular Impulse
Period of a Pendulum
Tp = 2π√(l/g)
Period of a Spring
Ts=2π√(m/k)
Period of pendulum only depends on the variables __ and __
g; L
Period of spring only depends on the variables __ and __
k; m
Period (SHM)
the time it takes the object to complete one oscillation and return to the starting position
Frequency (SHM)
The number of cycles completed by oscillating particles in one second (f=1/T)