Physics Newton Law (Check Attachment) - $20

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week_6__newtons_law_friction.pdf

N N −

θ ∘

m L

θ

v θ

m L θ g

mg

θ = 0 mg

avertical

avertical

T

m L θ g

T

T

a v

v m L θ

r

m L θ

r

a

Fr

m L θ g

Fr

v

Lsin(θ)

Lcos(θ) g

m L θ g

2π( )Lsin(θ) gLtan(θ)sin(θ)√

kg kg kg kg kg kg

m μs μk <μk μs

Ffriction

F

F μs μk m g

F mgμs

μs μk m g

≤ NFstatic friction μs μs N

Ffriction mgμs 2

a

μs μk m g

F

μs μk m g

F

| | = nFkinetic friction μk μk n

μs μk m g

Fhorizontal

a ( − )gμs μk

M kg km/hour θ g m/s2

r θ ∘

/rv2

n

n

∑ = n cos θ + M gFy ∑ = n sin θ + M gFy ∑ = n cos θ − M gFy ∑ = n sin θ − M gFy

n N

∑ = MFx ax a

∑ = n cos θFx ∑ = n sin θFx

∑ = n cos θ +Fx M v 2

r

∑ = n cos θ −Fx M v 2

r

a m/s2

r m

θ = 0 μ μmin

km/hour m

μmin

m

v

m

s kg

N

s kg

N

s

μk

μk

F ⃗ N

F ⃗

F

N

m v0 θ d

m v0 θ d

μk

m v0 θ d μk

≥μs

cm rpm

μs

A ⃗ y B⃗ x

y

θ ∘

⋅A ⃗ B⃗

⋅A ⃗ B⃗ 2

m M

μ F M m

Fmin