PHY 205 Lecture Notes - Lecture 3: Al-Walid I, Muumuu, Infantry Fighting Vehicle
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1h14 Oscillations
uniformcircular
motion if wconstant if vconstant
xRoost w.gl Oct wt tfo xvttxo
Roos tGo it
8anye
r
phase greater
omega smaller
period Tete2,1 w2nF
muumuu
Oscillations
spring FIX Xdisplacement
fromequilibrium
Fma aIx
de
moffit KX on doffs
xAcos wtt0
8eAwsin wt 10 awAcosewtty tw
Ia
ddI Aw2cosCwttO
phase Fe Kamat marx wangularfrequency
ffI
21T
muumuu
SimpleHarmonicMotion
xAcoslwttp
wiangularfrequency radianspersecond w2nF
ffrequency
cyclespersecond
Fperiod Tete 2
0phase f
Aamplitude maxo
displacement
from
equilibrium
dd Awsinlwtto yr it
Vmm Aw when name
aIj1 when t
At max displacement speed Or
adoff Acicos Cutto w2x as proportional to
displacement
inopp direction
dopp re on
magnitude dependson period 5AM when Forceis ato x
greater displacement greateracceleration
spring Period isalwaysthe
same regardless
Fma ekx mw2X of change in displacement
Wiff 1217VE
Vertical spring Ifill
EF Ol
ke moving itIe
Ilfymffe kigffientsid
T1by htt'll
New mg 1mL
equilibrium EF KXEF emg ketklx
0
When
gravity is involved new equilibrium
isinvolved when mass
is attached netforce K11
tospring where EF 0
Pendulum
qnon uniform circularmotion speed not
constant
4star pestoningbone
lr
t.fm far aEoft
centripetal changes
the
Xspeed
Xla Acoslwtt02termsof a
adx Awsin wt 10 2termsof F
at
Gdate Autoscutto ewax
tt
EF EF
forSAM Efta x
Net
Force
Trtangent
Force tangentcomponentofweight
I
anger.IE 1Ft mgsin0 Ft mgIe xx
my
for
041 asin0Tfi
tingfiainagnina main Tmoscoso ME aE ty
w2
tangent mgs.no md my mwax
It
xlb fix
lToff dependson lwig T21
w
Air resistancegoesagainstrestoring
force
reduces Amplitude mm
Robbin SHM to XAcos Eto
iAwsin wth
xI'm at Aurws Cutty wz
walid Imm aAcosol Im
find re Awsing 303Mls
AWat Aw cos
092
Aw2c wi92 qs
Aww ng
we 35
02 eAwsinld tang I313 tangents
Acosto wX 311 Dzari 531 600
xAwsCp Im Xi 2Mcos 35 t73 73
A1122M
Document Summary
Oct wt t fo it if v constant x vttxo. Oscillations spring anye greateromega smallerperiod tete2,1 muumuu w 2nf. Simpleharmonicmotion muumuu x acoslwttp w i angularfrequency radianspersecond f frequencycyclespersecond. At max displacement speed o a doff acicoscutto w2x nameaij1 when t r as proportionaltodisplacement inopp direction d magnitude dependson period greater displacement greater acceleration opp re on. Period isalwaysthesame regardless of change in displacement spring. X non uniform circular motion speed notconstant pestoningbone star a e oft changesthe speed. G date autoscutto e wax forsam efta x t t. T r tangentforce tangentcomponentofweight x x anger. ie 1ft myfor041 a sin0 t f mgsin0 i. Ft mgie tingfiainagnina x lb fix l main t moscoso me tangent mgs. no md. Eto i awsin wth at aurws cutty wz. Im a acosol re awsing at aw cos0 9 2 i 92 qs. Cavendish measured 6 6. 67 10 noir kg2 torsionpendulum g g mearth. Gg canbeusedto measure mearth densityofearth1 density surface densecone.
