TEST 2- Equations Flashcards by Callie Hill | Brainscape

Q

Kinetic Friction Fk=

A

Fk = μkN

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Q

Static Friction Fs=

A

Fs = μsN

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Q

Springs F=

A

F = -Kx

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Q

Centripetal Acceleration acp= (Ch. 6)

A

acp = V^2 / r

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Q

Centripetal Acceleration Fcp=

A

Fcp = macp = mV^2 / r

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Q

Work W=

A

W = Fd OR Fdcosθ

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Q

Kinetic Energy KE=

A

KE = 1/2 mv^2

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Q

Power P=

A

P = W / t OR Fd / t

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Q

Total Work W total=

A

W total = ΔK = 1/2 mvf^2 - 1/2mvi^2

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Q

Springs Work W =

A

W = 1/2kx^2

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Q

Conservative Forces Wc=

A

Wc = -Δu

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Q

Potential Energy u=

A

u = mgy

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Q

Spring Potential Energy u=

A

u = 1/2kx^2

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Q

Mechanical Energy E=

A

E = u + k

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Q

Nonconservative Work Wnc=

A

Wnc = ΔE = Ef - Ei

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Q

Linear Momentum p=

A

p = mv

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Q

Linear Momentum Net Force

A

∑F = Δp / Δt

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Q

Net Force on Object

A

∑F = ∑F ext + ∑F int

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Q

Impulse I=

A

I = Fav Δt

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Q

Impulse I= (one symbol)

A

Δp

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Q

Center of Mass (2 objects) Xcm=

A

X cm = m1x1 + m2x2 / m1 + m2

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Q

Center of Mass (more than 2 objects) Xcm=

A

Xcm = ∑mx / M

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Q

Center of Mass (more than 2 objects) Ycm=

A

Y cm = ∑my / M

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Q

Center of Mass Motion Vcm=

A

Vcm = ∑mv / M

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Q

Total Momentum p=

A

p = Mtotal Vcm

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Q

Center of Motion Acceleration Acm=

A

Acm = ∑ma / M

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Q

Center of Mass Ftotal=

A

Ftotal = MAcm

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Q

Changing Mass Δp=

A

Δp = Δmv

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Q

Changing Mass F=

A

F = (Δm / Δt)V

Q

Thrust =

A

Thrust = (Δm / Δt)V

Q

Arc Length s=

A

S = rθ

Q

Angular Velocity w=

A

w = Δθ / Δt

Q

Period (1 revolution) T=

A

T = 2pi / w

Q

Angular Acceleration aav=

A

aav = Δw / Δt

Q

Tangential Speed Vt=

A

Vt = wr

Q

Centripetal Acceleration acp= (Ch. 10)

A

acp = rw^2

Q

Equation from Centripetal Acceleration At=

A

At = ra

Q

Kinetic Energy Angular K=

A

K = 1/2 (mr^2)w^2 OR K = 1/2Iw^2

Q

Moment of Inertia I=

A

I = mr^2

Q

Arbitrary Shape K=

A

K = 1/2 (∑miri^2)w^2

Q

Arbitrary Shape I =

A

I = ∑miri^2

Q

Total Acceleration θ=

A

θ = tan -1 (acp / at)

Q

Linear or Angular Speed V=

A

V = rw

Q

Kinematic equations with angular velocity (w)

A

w = w0 + at
θ = θ0 + wot + 1/2at^2
θ = θ0 + 1/2 (w0 + w) t
w^2 = w0^2 + 2aΔθ

Q

Rolling Motion K=

A

K = 1/2mv^2 + 1/2Iw^2 OR
K = 1/2mv^2 (1 + I / mr^2)

Q

Energy Conservation mgh=

A

mgh = 1/2mr^2 (1 + I/mr^2)

Q

Torque 𝛕=

A

𝛕 = rF

Q

Torque Angle 𝛕=

A

𝛕 = rFsinθ

Q

Moment Arm 𝛕=

A

𝛕 = (rsinθ)F

Q

Angular Acceleration a=

A

a = F / mr = 𝛕 / I

Q

Angular Momentum L=

A

L = Iw = rmv

Q

Moment Arm L=

A

L = r⊥p = r⊥mv

Q

∑𝛕=

A

∑𝛕 = I𝛼= ΔL / Δt

Q

Moment of Inertia with Length

A

I = mL^2 / 12 (ROD with center axis)

Q

𝛕 = with work

A

𝛕 = W / Δθ

Q

1 rotation =

A

2pi radians

Q

Moment of inertia hoop

A

I = MR^2

Q

Moment of Inertia disk

A

I = 1/2 MR^2

Q

Moment of Inertia hollow sphere

A

I = 2/3MR^2

Q

Magnitude Centripetal acceleration

A

acp = wv

Q

Magnitude of Tangential acceleration

A

at = 𝛼r

Q

Rolling motion v=

A

v = wr

Q

Rolling motion

A

Δx = 2pir

Q

Moment of Inertia Disk with axis along the rim

A

3/2MR^2

Q

θ used with torque

A

angle between positive vector and force vector

Q

rCM

A

distance of center of mass to axis of rotation

Q

𝛕g total= rFsinθ

A

= Fg * rCM sinθ = Mg *rCM

Q

Tension force in Y and X directions

A

X = Ft cos
Y= Ft sin

Q

L(t) =

A

p * r(t) sin

Q

Translational impulse-momentum theorem

A

F net ext Δt = ΔP

Q

Rotational impulse-momentum theorem

A

F net ext