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Equation Sheet for Motion - Lecture Notes | PHYS 114, Study notes of Physics

Kettering University Physics

Material Type: Notes; Class: Newtonian Mechanics; Subject: Physics; University: Kettering University; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/07/2009

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Equation Sheet for PHYS-114 (Knight)

Descriptions of Motion

r=~

rf−~

ri~

vavg =4~

4tvx=dx

dt ~

aavg =4~

4tax=dvx

Kinematic Equations of Motion

vxf =vxi+ax4t xf=xi+vxi4t+1

2ax4t2v2

xf =v2

xi+2ax(xf−xi)

vyf =vyi +ay4t yf=yi+vyi4t+1

2ay4t2v2

yf =v2

yi+2ay(yf−yi)

Forces and Motion

F=m~

afs=µsn fk=µkn w =mg ~

FAonB =−~

FBonA

Momentum and Impulse

p=m~

J=Zt2

F(t)dt =4~

p=~

pf−~

Kinetic and Potential and Energy

K=1

2mv2Ug=mgy F =−k4x Usp =1

2k4x2

Work and Energy

Wnet =4K Wc=−4U Wnet =Wc+Wnc

Wnc =Wdiss +Wext Wdiss =−4Etherm

W=~

F·~

4r=F4scos θ W =Z~rf

~ri

F·d~r

Ki+Ui+Wnc =Kf+Uf

Rotational Kinematics

θ=s

rω=dθ

dt =vt

rα=at

rar=v2

r=ω2r

ωf=ωi+α4t θf=θi+ωi4t+1

2α4t2ω2

f=ω2

i+ 2α4θ

Torque and Moment of Inertia

~τ =~

r×~

Fτ=rF sin φ I =βmr2Xτ=Iα

Rotational Kinetic Energy and Angular Momentum

K=1

2Iω2L=Iω

Math Equations

If at2+bt +c= 0 then t=−b±√b2−4ac

A·~

B=AB cos θ=AxBx+AyBy+AzBz

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Download Equation Sheet for Motion - Lecture Notes | PHYS 114 and more Study notes Physics in PDF only on Docsity!

Equation Sheet for PHYS-114 (Knight)

Descriptions of Motion

4 ~r = ~rf − ~ri ~vavg = 4 ~r 4 t

vx = dx dt

~aavg = 4 ~v 4 t

ax = dvx dx

Kinematic Equations of Motion

vxf = vxi+ax 4 t xf = xi+vxi 4 t+^1 2

ax 4 t^2 v xf^2 = v xi^2 +2ax(xf −xi)

vyf = vyi+ay 4 t yf = yi+vyi 4 t+^12 ay 4 t^2 v^2 yf = v^2 yi+2ay(yf −yi)

Forces and Motion

F = m~a fs = μsn fk = μkn w = mg ~FAonB = −~FBonA

Momentum and Impulse

~p = m~v ~J =

∫ (^) t 2 t 1

F (t) dt = 4 ~p = ~pf − ~pi

Kinetic and Potential and Energy

K =^1

mv^2 Ug = mgy F = −k 4 x Usp =^1 2

k 4 x^2

Work and Energy

Wnet = 4 K Wc = −4U Wnet = Wc + Wnc Wnc = Wdiss + Wext Wdiss = −4Etherm

W = F~ · 4 ~r = F 4 s cos θ W =

∫ (^) r~f

r ~i

~F · d~r

Ki + Ui + Wnc = Kf + Uf

Rotational Kinematics

θ = sr ω = dθdt = v rt α = a rt ar = v t^2 r =^ ω

(^2) r

ωf = ωi + α 4 t θf = θi + ωi 4 t +

2 α^4 t

(^2) ω (^2) f = ω (^2) i + 2α 4 θ

Torque and Moment of Inertia

~τ = ~r×~F τ = rF sin φ I = βmr^2

∑ τ = Iα

Rotational Kinetic Energy and Angular Momentum

K =^1

Iω^2 L = Iω

Math Equations

If at^2 + bt + c = 0 then t =

−b ±

b^2 − 4 ac 2 a A~ · B~ = AB cos θ = AxBx + AyBy + Az Bz

Equation Sheet for Motion - Lecture Notes | PHYS 114, Study notes of Physics

Related documents

Partial preview of the text

Download Equation Sheet for Motion - Lecture Notes | PHYS 114 and more Study notes Physics in PDF only on Docsity!

Equation Sheet for PHYS-114 (Knight)

Descriptions of Motion

Kinematic Equations of Motion

Forces and Motion

Momentum and Impulse

Kinetic and Potential and Energy

K =^1

Work and Energy

Rotational Kinematics

Torque and Moment of Inertia

Rotational Kinetic Energy and Angular Momentum

K =^1

Math Equations