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T
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avitg
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Assigment.
23
2- 1S
X 44 4 2
1)
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irsti1114129111!
w k done by constant Force!

let ()

9n

lihe
integral

ka
fy

2
1<
2

dy
2 2
A
 EN¬R
The
Re Capaity a bucy tato do ook is calad ng.
he em

es prseed by a buy by vitue c

moi on.

(m) m d
frs cmstant mas.

dt

dt

Dot
Pnduct is commutate 2V v

U,du
2_

= m. l.3) dt
2

2
2
A

Thenem The ine inte gral a force

beteeh
Positin is equal to the
cheng n
sd tthe Panticls in cming to
final prsitien frm intil the
osit'on.
 Calulateaw aftee d= s m.
b)

Wonk do he by fntioual free:

-24-SJ
mu

Remeber !. * Force t static fricion

Smalet force to stat the motion.

fFree achug bo Surfai duzig nelatie motion,

Co friction

s (ma)
N

the F. de
Note!- ohenoneên, its hard to calculat
rest to fr cnseative Free.
We

Remembee AM fund menta 4 forces od Nate

But ushen do not are

sfos d SSipatee gy, we talk a b t

non conemau ne frree

43)
 ConseY aline frr ce qnd
(up-vertide wa)
pavtila o mafs hay to be
4alcen along tuwo
Diyecy alon8 AB
) atong ADCB
9 cal clal 4he wby rawit
mg
W
A
A

mg lo-9a)= -mgl
W
Wapce
2

B
A

B
cl
- mgi - dy ) - -rng î-(-dn)

s tate nent: the wwt don by a force do

not dopend
depends inital aud posit'oy
par til is CoweY at Faree.
not en nou- owsornatine freeliitim
Assign ment:’ Pooe that wok aohs by cohgerrative free
clased Path i eeoA (44
 Iichon Fore w ok done

A
Ar -(amg)?dn

- Hey - 2 mg d to
to tal

p:E: cmcept Frmlation

We w - (OB- a)

Def.
tnes 5 posessed by a bydy by vintue of ts
Con fi gura'on
Remember! The e ference point d p:t s convetionay
fixod chice .
by
(fincd)
A
hien

Thus, p-6 abcoute. at is aluooys elataive

nee

to Soe standad cemfguatiow chssw.(= o)

F
do
Posiion
 Natural La
Nata proeses pscead to a contignation
hewi minium p
Three types cauilli lsium
i) minimum
mwi mum
111)
ns-tant Lindpeoet od psiti on)

Stabe
uneta ble
deshal equibrium

Piniple st Consexvaion of enarryy

Can not be cyeated Can be detye
but Con be tams tus hed fm
st Foom The totel amsun
en in
he wn vense remainy cntant'

46)
 Cuno ernatie frr ce
2

mgytmy
2
m
(E -U)

’ moon nt pssibl

=) Turning point | potential Baien

motion contmues

motin e t stop&
 ELAsilc Colllslo

partica
’ elasti c 1<-E ’ owoerel
Inelashe
1<:¬: .Not conoereol
T,+T,
Remembe2! Ap o * dU Tabito e persimen

’rojectile
Target
’ Recol velocit
Ang t Recoil.

m, = m,v,

m, v

m,

fy
m,v

45)