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1. Vectors
^
B =^ Bx' tBy
Bay ㎥
} : BcoctBind tan 2 = (^) 隊 ‰
dot
product
- (^) > a. 6 = abcost - >the (^) result is scalar cross product
- (^) axb =^ absind + (^) the result (^) is (^) a vector ;
direction -
perpendiculartoboth^ a andbright^
hand rule
; (^) magnitude ea
- Kinematics
displacement
vs distance^ traveled^ +
displacement is how^ far^ the object
is from its
starting point (X2-X1)^ ;
distance is^ the overall^
length
of the
path
traveled
- distance is (^) scalar , displacement^ is (^) a vector
- displacement! → σ=^ ] time (^) elapsed *acceleration^ (vector) change of^ velocity^ - > a time (^) elapsed =] *motion with constant acceleration
- (^) =θo tat
- メ =× 0 + Vot +^ Zat 2 -Get = ซอย +&^ LX-Xo ō (^) = (^) ⼼些
projectile motion (^) + two-dimensional^ motion^ with a (^) horizontal and^ vertical (^) component ; under^ the
influence of
gravity ;^
the horizontal /x)
component is constant (^) , while (^) the (^) vertically) moves with constant
acceleration of
g
-Ox -Uxo *^ the^ exercices^ almost^ -By :^ Nyo-^ gt always require^ the^ rector
- (^) X = Xot Oxot componen formulas^ - Y = Yotyot + ⻘ (^) gt㎡
- Gg2 = Ego" -^ 18/^ %-^ Yo
- literally the const (^). a movement formulas
Dynamics
- a force^ (f) is^ an agent
that can
change
the state of
motion of a
body (^) they
can have^ a static effect(inhibits
motion) or
dynamic
effect "produces motion
- Newton's^ firstlaw (law^ of^ inertial^ : · Every body^ stays
at rest
,
or moves with uniform
velocity in^ a straight
line
, as long
as no net force
acts on it.
- (^) this tendency is (^) called (^) inertia
- Newton's^ second^ law: · (^) Force is directly proportional^
to the acceleration of
an object (^) , but inversely proportional
to its^ mass.
F (^) = uā N (^) = ]
- Newton's^ third^ low^ /action and^ reaction) : · If two (^) bodies interact , the (^) force from A onto B (^) is equal
in
magnitude
and
opposite
in direction to the
force from^ B onto^ A .
Fab = - FBa
- a force (^) does (^) work when (^) it causes displacement W (^) = (^) Fos W^ = Fscost I ]^ = ]
energy e energy^
is the
ability of (^) a body
to do work
energy
(K (^) , E2) is^ the energy of (^) a moving body (^1) = (^) 望
vork-energy principe (^) thetotal^ workdonegy ( W=^ Kfinae-Kinitias
W =Fs = (^) was =μ響⼀興 = hr
- Kz the total work^ done^ by
the total force is
equal
to the
sum of^ works^ done^ by each individual^ force
*conservative^ and^ nonconservative^ forces
a force^ is^ conservative^ if^ the^ work^ done^ doesn't
depend on^ the^ path taken^ by
the
object
- > if (^) W = (^) We= (^) Wy
,^ the^ force^ is^ conservative
- conservative forces : 1) gravity
- elastic^ force 3)electric^ force
- nonconservative (^) forces : friction ,
air resistance
, tension , push and pull (^) , propulsion ...
A
potential energy
- associated^ with^ conservative^ forces
- the (^) most common type is^ gravitational^ potential
E
V =
mogh
- mechanical^ energy sum of^ kinetic^ and^
potential energy
E =^ K+^ U^ E^ =+
ugh
*Sincepotential^
energy depends^ on^
a (^) certain (^) point , it cana
nonconservative forces^ , because their^ work^ depends on^ the
path taken
W=^
DU
- with^ nonconservative^ forces^ , the mechanical energy isn't
constant ,^ so^ the^ work^ is^ the^ sum of works done^
by cons.^ and noncons
forces
W= Wa + WnE
W =^ AY^
DK =^ Wa +^ Wha
Wc= - AU
Ak
= - Du +wwa
Wna =^ Dk+ Br
