Foundation 3/4 notes, Study notes of Physics

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Andy Tillotson

Physics

Homeworks notcredited, instead HW Quizzes are 25%ofthe^ grade

2 types of

Lecture 1:9.1.9.

①out^ into board

a (^) ↑ can^ be^ +^ or^ - "standard as Angular displacement: 10

=0.0, W =

1in (^) o

e

Angular velocity:

Wayz=o 8 = |dof

magnitudee

save length^ S =^0 rotates around

SrB-radian^ (vi^ zaxis. radius ↑i (^) straightline Motion a^ constant

• Righthand (^) rule II: &dug. (^) angular acceleration:^ 9av.^ z^ = n a 1 Oha instantaneous (^) angular acceleration:az^ = wn write formulas for (^) constantangular to

Example 1:^ car fire^ ro.5m^ rotating according to^ theformula:

&(t) =^ - 21.5rad/s2)E + (rad/s) t (^) W^ radis^ &^ Counterchocleiare

3 - clockwise

a) distance^ travelled^ in^ Is.^ 2) plotw^ and^ a^ sao^ aco &(1) = +1.5 rad^ ....^ counterlocisaen

a speeding up,

S = 50 =^ 0.5x1.Srad =05m

1

2 t

b) angular^ acceleration?^ .... d^ t Wz = 10 -^1 5+^2 +^ (t^ =^1 -^37 +^3 d) look atthe graphs describe^ qualitatively Oz = w2 =- 3rad/R

& ⑩^0 om ad- Parallel

axis theorem;

Ip =^ Icm^ +MdR

• Perpendicular Axis theorem(only for ID object)

Iz =^ Fx^ + Iy

Rotational RE:

k = 12Iw2 ki + vi + other = (f + Uf

& kt = Id &

Ralling without^ slipping ->^ co^

= I ifitslips then w =

Total R = Etrans + Prot

Vam =

ww(dida

acm = 5&

Im = Y,ML

LC:

(i +^ 0i^

= kf +

07 · Iend = 5M M(gz = kzM(mV + Iw ①v 0y,gz^ = 2)'sMw Myngz = kM/mv3 + 12xtMXxy gz =^ (V^ + 1 v(t

• Extx 1)v =^ g ( =^ v(t^
• t)(t
• Er= gz zv = gz Ans: 592 -x

97 =^0 v = ggtc &- (^) Torque: ↓S

Righthand^ rule^

method

a(F = 0xF T= rFsinO (^) * ....- Esince

SasF

it F,aa

Method b) T = wF

Method c) V = rsince

E =^2 F wet tongue ↑ (^) sangular acceleration ↑ a - ET = 1qz EF =man

Imomentof

Inertia^ EFy^ =^ may

2iz = Idz

I= (zmR2 TOP^ viewi^ +] ↑-x (^) + mly (^) xT

R

·

rm

a)

aN I =

EMR2y >f a ........... : ↑ masing^ ·a ugroc (^) my

7 a(

b) [F=^ man^ itlar 5Tx^ =^1 only colling withoutslipping. ①mgsino-F = man

8 - AR =

(GMR')2z 2z =^ - E R ② N^ - mg(

au = - z mp ⑥ an^ =^2 ③into^ O (^) mgsina -f = If

C

f = Emgsina

b) an = EgsinQ

1. (^) Fs =^ uN^ fn^ =^ MuN Emgsinc?^ Mn^ lngcoc) M = (^) Etano a) 9W^ =^48 =^ + 10

+^ f-Rotation.^ - (^) wdom! (^4) translational ⑨ 8/2/25 &F=^ man and (^) of us & (^) Fy = may (^10) (^2) F= I2z (^) ==0xF

↑A. about^ a^ M

Angular momentum:works (^) symmetry v >L

I = 18 Ionlycenter^ of->^ B

L =^ TxF^ =^ umu ** (^) A =9T^ =^ T^ xF^ =^ gif=0,^

thenangular more^ seen

Li = (f

IiWi = IfWf wp = (E)uf (No external^ torques involved)

case

be insures in^ the^ case^ ofshier^ folding this^ arms^ work^ done^ in^ bringing an^ i

· th

N= we getc,^ d> show poque

1012/23 (^) ↓ Li = 1f (^) Fore ↓ mrR +Iw = CE r e (^) r

childs^ ↓

momentum

wf =m-k^ +^ Iwo

I + nR

15/2/23 (^) Gravitational force ↑ FAB

• (^) force (^) thatAexerts on B

Fg

2mimu

=ma

o^ A-^ - -0^13 F FBA

• FAB g

2m- (^) ↓Fa & F^ =^ ma a =^ 0z^ = Er e aemy = (E) v = &. g- eccentricity(theradius^ ofthe (^) ellips), for (^) a circle a^ =^0 d) p +w > 298

• W
• Gravitational (^) potential energy:does^
• work.

* at^80 aPt^ =0.

& u =^ - ,mc 5 Total (^) mechanical (^) energy: *- jahms - empe^ energy tometest

Liz =^ LA a)Ei =^ ef^ GAM^

leaves - an =^0 CoE^ -> Va = uM 22/2/23 - SHM:

• (^) kx = Map

an = x

m ** ==^ =^ e w^ =

some x(t) = Asin(wt+ 0) + (^) O, shifts graph left u(t) = Acus(ut + 0) - o,shifs (^) graph Right.

u(t) =^ A^ sin(Wt) + BCS (wt)

④

d

T = f 1 P w = 2

K

m

98 = E = I

E

Total E

M

Pf -> -> KE A A ⑧ kd = mg

p =

= 4 & (^) - physical pendulum:^ o^ = w simple (^) pendulum:w (^) = = :Im+ ma =E

I

Ex

in

i

No slipping,

n =^0 I

Es Ww^

a

& ⑧^ e

0 D

• W=< -> opposite^ ofwe^ only in^ this^ care 2220 3 in (^) Epp. SFu=man &^ Fdz

fR

= (tMR2) x

• Rx + f = man A==nRx(y)
• f =^ - In an
• lx - 42Man=man =an=^ - 2 we =

A q -

E

⑮

S

electractforce elect

* E^ =

E, F = 9.t fore 3 only for^ a^ source^ pointcharge. d you cantuse^ this^ for^ other^ means. charge

• The^ direction (^) ofIdepends (^) only on the (^) source (^) charge

a vector field thatexist

everywhere in (^) space.

I

t ⑦->-

F

(^1) I -E electron travelling ... through space

V

I

---------------- > E, b ine =^ = 0 3

• Electric (^) field line diagrams:

L

& #^ of^ lines^ entering or^ lecuim a (^) charge is (^) proportional to

• 2 denver thelines, the stronger the (^) charges magnitude. 7 the

field

> &^

lines dontcross.

↓

E e +^3 3 -^ -^ I^ XE^

• (^) - - ti 1 - linear charge denim Q=f X = Mude -Y I

dg =Rde^ x=

dg] always^ the 11111111111 & se I (^5)

• L^ ⑧
  • (^) de= (rad

-> integration variable

Jos are re

~first 30 mins:

MCA/ conceptual (^) things like^ (30^ prelecture. ~next^30 mins: easier (^) mastering phy type^ questions.

• 45 mins^ COV2G like the writtenfew

1) make sheet

2) Review prefectures &^ 22.

3). Practice problem

Solving -go (^) through

the HW's.

• Recitation (^) problems.

-Gauss's law:

Eext retardati

Better representation; -

• ↑ -

= -^ +

metal - I

• • --

&-flectic fluxis (^) a scale (^) quantity. Ic = 8 E.^ da

• Electric (^) field is a vector. d I^ >^ Electric (^) field (^) magnitude atpi

2 I^ >