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physics c mechanics all the stuff I waited till the day before the exam to look over
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little g equation
Gm/r2
vorbital
√Gm/r
Torque equations
T= rfsin∅
T= Iα
acceleration/ velocity in terms of angular velocity and acceleration
a= rα
v= rω
oscillations
centripetal force
at top of a loop ∑F= Fc-mg (both working down)
at bottom of a loop ∑F= Fc+mg (working against each other)
work equation
Fdcos∅
∫F dt
keepler’s law
T2=ka3
2a=peri+aphelion
T= period of orbit
k= constant
a= axis of orbit (au)
Vof a sphere
4/3 πr3
elastic collision
p and energy conserved
break apart
inelastic collision
p conserved
energy not conserved
stick together
Inertial parallel theorem
Iii=Icm+md2
acceleration (oscillations)
a=Aω2
glancing collision
momentum conserved
energy may or may not be conserved
relative velocity
Vba=Vb-Va
velocity of b with respect to a
relative velocity= V moving- Vreference
units for spring constant
k= newton- meters
elliptical orbit
USE CONSERVATION OF ANGULAR MOMENTUM!!!!
velocity/ angular velocity
v=rω
tension/forces
set up system of equations
∑F=ma
for one T-mg=ma and the other mg-T=ma
work for a circle
0- no work done
or any time its moving in uniform motion (no acceleration so no force)
area under the curve of a force graph
work done by the force
impluse
on a slope
friction use mgsin∅
weight use mgcos∅
torque of a ladder/ person problem
set torque to zero
rFsin∅
force of friction acting between the ground and ladder is equal to the normal force between the wall and ladder (bc F=ma and ma=0)
F=mg of the person and the center of mass of the ladder
the angle is either cos(angle between ground and ladder)
or sin(angle between ladder and wall)
moment of inertia betwen the x and y
I=∑mr2
center: you find the hypotenoous of both triangles (using pythag)
then plug that in for the r values and add up
what happens when spring is cut in half?
K doubles
angular momentum (CONSERVATION OF ANGULAR MOMENTUM)
L= mvr and Iω
use mvr when something moving straight, use Iω when its rotating