Review before final exam

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Review before final exam
Today
Guide how to identify type of the
problem Workshop tomorrow Do
practice problems Tuesday lecture (attendance
optional) See more practice
problems solved
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Guide how to identify type of the problem
The question is about?
acceleration
(linear or angular)
ax0 ay0 a0
I aSi ti
m axSi Fi x
Also often needed aa/R
axv2/R for the x-axis pointing towards the
circle center
m aySi Fi y
(0) Usually ay is zero for proper choice of
coordinates
t r F sinq or r- F
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The question is about?
velocity
(linear or angular)
v w/k f l
Etot iEtot f Ki Ui Kf Uf
Extended object K 1/2Iw2 Point-like object K
1/2mv2
Gravitational Umgh Elastic (spring) U
1/2kx2
Ltot iLtot f
Ptot iPtot f pmv
Extended object LIw Point-like object L r
mv sinq or r- mv
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The question is about?
position
(linear or angular)
Dx v Dt
Dx vi Dt 1/2 a (Dt)2 vf vi a Dt
linear
a angular
x v a
q a w a
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Modification of the slide on velocity and
position problems
Is mechanical energy conserved? (Is work by
external or non-conservative forces zero?)
Etot iEtot f
DEtot Wext. or non-cons. Etot f - Etot i Wext.
or non-cons.
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