Point Mass Inertia
I=mr²
Hoop Mass/Hollow Cylinder Hoop
I=mr²
Solid Cylinder
I=1/2mr²
Solid Sphere
I=2/5mr²
Hollow Sphere
I=2/3mr²
Period over radius
T³/r²=T³/r²
Elastic
bounce off each other
Inelastic
Stick together
v=
d/^t or x-xo/^t
a=
^v/^t
4th Kinematic
x-xo=((v+vo)/2)t
Acceleration in the y
-9.8 m/s²
How is gravitational force proportional to masses
Fg&m1m2 directly proportional
How is gravitational force proportional to the radius
Fg&(1/r²) aka inverse squared
Vorbit
=sqrt(GM/r),
agravitational
(GM)/r²
GMT²=
=4pi²r³
mg=
=fg
static friction max=
=(MUs)(Fn)
kinetic friction equat
=(MUk)(Fn)
What motion is static friction
not sliding
What motion is kinetic friction
sliding
is static friction greater or less than kinetic
greater >
angular velocity=
=(2pir)/T
other ac=
=(4pi²R)/T²
P=
=^E/^T or W/^T
What is impulse
the change in momentum
1hp=550ft*lbs/s=
=745.7W
Area below force vs displacement graph
Work
J(impulse)=^p=
=F^t
conservation of momentum
momentum before equals momentum after
no mo
no go
angular displacement
change in theta
to a circle, velocity is
perpendicular to the radius
to a circle acceleration is
inwards
linear to angular velocity
v=rw
Torque=
perpendicular force * length
Workrotational=
=Torque*theta