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Constructing Free-Body Diagrams A Step-by-Step Method modeled on the multiple representation technique of Dr. Alan Van Heuvelan at Rutgers University. Separating the universe into point models of objects and force vector models of everything else Leo Takahashi The Beaver Campus of

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slide1

Constructing Free-Body DiagramsA Step-by-Step Method modeled on the multiple representation technique ofDr. Alan Van Heuvelan at Rutgers University

Separating the universe into point models of objects and force vector models of everything else

Leo Takahashi

The Beaver Campus

of

The Pennsylvania State University

constructing free body diagrams for interacting objects

Constructing Free-Body Diagrams for Interacting Objects

Featuring Newton’s Third Law

 L. H. Takahashi, August 2007

slide4

a

v

a

v

m

m

M

slide5

a

a

FN2

F

FN1

fk1

FT

fk2

FT

fk1

mg

Mg

FN1

m

v

M

v

FBD Block

FBD Slab

slide6

FBD Slab

FBD Block

FN2

F

FN1

fk1

FT

fk1

fk2

FT

a

a

mg

Mg

FN1

slide7

+y

+X

FBD Block

F

FN1

FT

fk1

a

mg

Fx = max

FCos - FT – fk1 = ma

Fy = may

FN1 + FSin - mg = 0

slide8

+y

+x

FBD Slab

FN2

fk2

fk1

FT

Mg

a

FN1

FT - fk1 - fk2 = Ma

Fx = Max

FN2 - FN1 - Mg = 0

Fy = May

slide9

FCos - FT - fk1 = ma

FN1 + FSin - mg = 0

FT - fk1 - fk2 = Ma

FN2 - FN1 - Mg = 0

fk1 = k1FN1

fk2 = k2FN2

Block Equations

Slab

Equations

Friction

Equations