ten commandments of dynamics

1
Ten Commandments of Dynamics I. F = m a . It just is. II. Thou shalt not introduce an angle without two vectors (or lines). III. Thou shalt not differentiate a vector without a reference frame. IV. Thou shalt only write ˙ θ k for simple angular velocity. V. Thou shalt not seek the angular velocity of a point or system. VI. Thou shalt not seek the velocity of a rotating body. VII. Thou shalt not differentiate a quantity that is valid for an instant. VIII. Thou shalt apply forces to points, not bodies. IX. Thou shalt not seek potential energy for all systems. X. Thou shalt not use T = α α for 3D analysis.

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Page 1: Ten Commandments of Dynamics

Ten

Com

mandm

ents

ofD

ynam

ics

I.F

=m

a.

Itju

stis

.

II.

Thou

shal

tnot

intr

oduce

anan

gle

wit

hou

ttw

ove

ctor

s(o

rlines

).

III.

Thou

shal

tnot

diff

eren

tiat

ea

vect

orw

ithou

ta

refe

rence

fram

e.

IV.

Thou

shal

ton

lyw

rite

θ̇k

forsim

ple

angu

lar

velo

city

.

V.

Thou

shal

tnot

seek

the

angu

lar

velo

city

ofa

poi

ntor

syst

em.

VI.

Thou

shal

tnot

seek

the

velo

city

ofa

rota

ting

bod

y.

VII

.T

hou

shal

tnot

diff

eren

tiat

ea

quan

tity

that

isva

lid

for

anin

stan

t.

VII

I.T

hou

shal

tap

ply

forc

esto

poi

nts,

not

bod

ies.

IX.

Thou

shal

tnot

seek

pot

enti

alen

ergy

for

allsy

stem

s.

X.

Thou

shal

tnot

use

T=

Iαααααααααα ααα

for

3Dan

alys

is.