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we're used to seeing things from a particular point of view
that is from a particular frame of reference
and things look different to us
under different circumstances
at the moment
you look to queue here
you're upside down
you're the ones upside down
no europe turns out
well not
he's the one that's upside down his name
well let's talk for a
hi you lose
people want to really up that that
you better come into my frame of reference now
frame of reference
was inverted from what it usually is
that view of things would be normal for me
if i normally walk to my friends
this represents a frame of reference
just three route that together
so that peace is at right angles to the other two
now i'm going to move in this direction
if either plane at the same spot on your screen but you know i'm moving that way
because you see the wall moving that way behind me
but how do you know that i'm not that i think bill and the wall moving
workable
now the wallet that the pier
and you have no way of telling
whether imovie or not
but now you know that i'm moving
the point of it is that all motions it's relative
in both cases i was moving relative to the wall
and the wall with moving
relative to me
all motion is relative but we tend to think of one thing is being fixed
and the other thing has been moving
we usually think of the earth inspect and
walls are usually pick to beer
so perhaps you were the part of the first time
when it was the wallet was moving and not doctor whom
a frame of reference text of the earth
is the most common frame of reference in which to observe the motion of other
things
that is the frame of reference that you're used to
the framers baton to the table
the table is bolted to the floor
the florida anchored in the building
and the building at firmly attached to the earth
of course the reason for having three rods if the position
uh... any object such as this fall
can be specified
using these three
reference line
this reference line points in the direction which we called up
two different directions here than it is on the other side of the air
and these two reference lines
specify a plane
which we call horizontal
or level
in this film we're going to look at the motion of object
in this third frame of reference
and other frames of reference moving in different ways
relative to the other frame
well let's look at a motion
this field ball
can be held are
by the electra mode
no i'm going to open the switch and you watch the motions of the ball
the ball is accelerated straight down by gravity
along the line parallel to this vertical reference blood
as you can see
the electromagnetic mounted on the cockpit can move
i'm going to do exactly the same experiment the doc resume did
but this time
while a cart is moving at a constant velocity
is pulled along by spring which is longer on this photograph turntable
and that hold that with a constant velocity
when the car
passes this line
be lol
this week that you can see
i'm going to start the cart
down at the end of the table
so that by the time it gets to this point by can be sure
it's moving with a constant velocity
i want you to watch right here so that you will see the ball falling
i think you can see that the ball landed in exactly the same position of the did
before
when doctor whom did the experiment with the car text
but this time
the ball could not have fallen straight down let me show you off
the ball was released
at that point
if it had fallen straight down
because the cart moves on in the time to take the fall
would have landed back here somewhere
but it didn't
wanted to do the experiment again
best time
i'm going to let you watch the motion through slow-motion camera
which is fixed
the cart
moves by
the ball will fall and you can watch a missile which the camera
how true this again
first-time there'll be a line on the film so if you can see the fat
repeatedly complete but the problem all
to the ground
all of this has been in a frame of reference fixed to the year
all of this motion locked
in a frame of reference which was moving along with the car
frame of reference like that
well so that you can see what it looks like
i'm going through
solution camera
so that it was with the car
permittivity experiment again
incidently i started and the number to stand here
when the ball for all of you will have something which is fixed
as a reference point
in their moving frame of reference i think you can see
but the problem all as a political straight line
it looks exactly the same as the day before when
doctor whom did the experiment with the car etc
if we were
moving along in this frame of reference and we couldn't see the surroundings
then we wouldn't be able to tell
by this experiment that we were moving at a constant velocity as a matter of
fact
we wouldn't be able to tell by any experiment that we were moving at a
constant velocity
i'm gonna do the experiment once more and this time i'm not going to stand
here behind the ball at the fall so that you won't have any
fixed repertoire
as far as you're concerned that time
the karke wasn't necessarily moving at all
that time when you couldn't see the background then i think perhaps it was
harder for you to realize that you were in moving frame of reference
important thing to realize here
all frames of reference
moving at constant velocity with respect to one another
are equivalent
doctor ivy showed you but the motion of the ball that was released from the
moving karte
looked like in the current frame of reference
and in the car frame
the motion looks simpler
from a car
now i want you to watch the motion
white spot
would probably be the clock moving out circle
but that is what it's practiced actually like
in the hurt
of reference
this is your normal frame of reference
you father thought
moving in the circle
because you're high moved along with the car
you put yourself
in the frame of reference of the moving truck
so if it isn't always true
that we view motion
from the third frame of reference
when the motion is simpler from the moving frame
you automatically put yourself
and not moving frame
now we're going to do another experiment on a relative motion
to show how the compare the block today of an object in one printer records
to explore all serbian another frame of reference
forgiveness
drive a spark a certain stark
it moves a straight across the table
with a speed which is essentially constant because the forces of friction
of the made
very small
this is just the law of inertia an object moves the constant velocity
unless an unbalanced force acts on it
how you get the same start backwards uh...
dougherty and gives it the same started moves back in this direction
with the same philosophy
now we're on a car here a car which can move in which were you going to move
in this direction
and we're going to repeat the experiment
all right let's go
if we were making measurements here
then we would observe the same
but lots of these that is the same experimental results that we did before
and so would you
because you are observing this experiment
through with the camera which is fast into this car
added you were in the moving frame of reference
but now we're going to do the experiment again
and this time
you watched through a camera which is fixed in the poor
frame of reference
or concentrate on watching the clock to lecture i follow us
i think you'll see that in a move faster that way
and not so bad
this way relative to u_n_ relative to the wall husband
here the car
which was moving along in this direction
with the velocity
we were thinking
on the card at a table
here i am over on the side
and uh... doctor doom
was on the side
and we were pushing
back-and-forth on the table
well i pushed it and went into this direction
with the velocity
v when doctor didn't want to do when in this direction
the same velocity v
but this is the velocity
relative to the car
what about the velocity relative to an observer on the ground
in the picture brain
well if it was pushed in this direction
it's velocity to you
plot being
if it's in this direction it will also be used u
minded b
this is all very reasonable is nothing very hard to understand here
the surprising thing about this expression
is that it is not actor in all circumstances
at very high speed by high speed i mean speeds close to the velocity of light
expression
breakdown
at these very high speed we have to use the ideas about relative motion
developed by a albert einstein in his special theory of relativity
for all the speed of the we're ever likely to run into
this expression you plus or minus the
is completely adequate
so far we've been talking about frames of reference moving at a constant
velocity relative to one another
now i'm going to do the experiment with the dropping ball again
only that time
the karte
will be accelerated
relative to the earth frame
these weight will fall and give the cart a constant
acceleration
first of all out
and then i'll really put the motion is very fast
and i want you to watch
at the point
where the ball is released from the pic camera
i don't know whether you thought that are not
at the top of the vault with the things that was before
for either prime it landed in a different spots
this is because the cart kept on accelerating in this direction as the
ball was falling
now i'm going to let you see it again
with the slow-motion camera
fixed on to the car
this time you saw the bull moving off to one side
falling down
the vertical reference line as it did
in the constant velocity case
but suppose you were in the six telerate a frame of reference
how could you explain this
gravity is the only force
acting on this fall
so it should fall straight down
but at the law of inertia is to hold there must be a farce
pushing sideways on the ball in this direction accorded to deviate
from the vertical path
but what kind of a force is it
it is not gravitational
or an electric or nuclear force
in fact it is in the force at all as we know what
story left to conclude
but it gets sensor is no force
that could be pushing in this direction on the ball
but the law governorship
just does not hold
this is a strange frame of reference
we call a frame of reference in which the law of inertia holes
and inertial
the law how the nurse or holds in the third frame of reference
so it is an inertial frame
the car moving at constant velocity relative to the earth is an inertial
frame
but the car which is expel a rated is not an inertial frame
because the frame of reference that we're used to living in is one in which
the law of inertia holds
when we go into a non inertial
like the frame of the accelerated car
our belief
in the lava nurture is so strong
but when we feed them acceleration
of the ball sideways
we think there is a port
carpet
so we make fiction
but they're into force
and sometimes we call this fictitious
force
fictitious forces arise
an accelerated
frames of reference
the frame is accelerated in this direction
so you in the frame
cn acceleration of the ball in this direction
and you say that there is a force cutting it
what's happening this time
why doesn't the talking straight across the table
i did it before
how you can see
it doesn't
if we believe in the law of inertia
but we must believe that there is an unbalanced force
to change the velocity of the pot
but this pope is nearly friction locks
so what can be exerting this unbalanced correspondent
though that you watched the motion this time through a camera which is fixed in
the earth's frame of reference
i think if you concentrate on watching dot papa
you can't be that it is a warning is a great time
and that therefore there is no i'm not quite acting on it
now we're going to stop this rotation
but i can talk to you about what is happening here
i don't know about you but i'm busy
in d
fixed fame of reference there was no one balanced force
within the frame of reference for taking in this turntable
there was
and unbalanced
because the velocity
kept changing
was with the fictitious part
rotating plane is unknown inertial or accelerated fame
just as the accelerated frame
of the karte the doctor humes showed you
you know that every object which is moving in a circle
has an acceleration toward the center of the circle this is the exploration of
has a special namely
and capital
acceleration
now you will this puck for a while
workstudy
while the turntable is rotating
i'll get off
theoretic
i'm ready
but the rotation
you concede that now the park isn't moving in a circle
dr humans exerting a force to keep it moving in the circle and you can see
this from the fact that the rubber ring
is extended
heat is exerting the center of the billboards
and this is the only horizontal force acting on the part
but not let's look at it again
from his point of view in the rotating system
he is exerting a force towards the center of the table
and yet the puck is standing still
produced more or less taylor some vibration
how he believes in a lot of inertia
so he thinks there's and equal parts on the part away from the center of the
table so that there is no unbalanced boring
this outward force in the pocket the fictitious sports in this case
sometimes it's called
the centrifugal force
in the pics reference frame there is no award boris on the path
now suppose the doctor doom stops exerting a barge watch the pot
in the picture frame of reference the puck moves off in a straight line
there's no no
unbalanced boris acting on it
now let's look at it again from his point of view
in the rotating system
when he releases the proc which to him was everest
it mood
the force away from the sender is now on unbalanced part on the talked to him
the outward course on the part
is fictitious
in our food frame of reference it doesn't think that's
but the doctor whom in the accelerated frame of reference it's a perfectly real
force
i hope by now
doctor i do not have convinced you
the rotating frame of reference
is not in their shel frame
for you've all been told
that the hurt
it's rotating abode of taxes
and that also it travels in a nearly circular orbit
around the time
why then do we find in a frame of reference attached
securely to the earth
but the law of inertia seems to hold
why don't we observed
fictitious forces
the five of the fictitious forces which we have to introduce
in a non initial frame
depends upon the acceleration of the frame
these smaller the acceleration is
v smaller the fictitious forces that we introduced
here's a frame of reference attached
to the equator of the car
the acceleration of this frame is really very small
because bearded spinning about it axis
it has an acceleration directly inward app three d_
one hundred
of a major per second square
on they one kilogram
at the equator their is the fictitious for us
directly upwards out three one hundred
but this is not
by gravity
which is a port downward of nine point eight new
so the net downward force is smaller than that of gravity alone
if i've dropped
av one kilogram at the equator
the acceleration would be slightly smaller than that
due to gravity
alone
very much
now the acceleration of the car
in its orbit
is even smaller still
and produces even smaller affect
in our frame of reference
mike said that the earth was rotating abode faxes
how do we know but this is slow
well if you take a time exposure photograph of the stars
they seem to be moving in circles
a both p
pole star
but all motion is relative
is there any way of telling which is moving
or the stars
the fact that it is because which is rotating
can be demonstrated by means of the pendulum
if i've got a pendulum swinging its wings
back-and-forth
in a plane
though it turns out
is this pendulum with the north pole of the art the plane of swing would remain
fixed relative
to the stars
but would rotate
relative
now i'll have to show you
what i need
this pendulum is epicenter how this turntable which will represent europe
no i was about the cable turning around in this direction
i'll put a black arrow on
so that you'll remember
but the rotation
the pendulum is that the north pole of the earth
annuals motion as you ordinarily do
standing on the earth
the playing of swing rotates in the opposite direction from the rotation of
the turntable and that exactly the same rate
now look at it from the fixed cabral which will represent the frame of the
stars
the turntable the alert rotate
but the plane of the pendulum remain specs
a pendulum
used for this purpose because approval pendulum
use tommy dot wong at the beginning of this film
let's look back again now
the focal pendulum dropped slammed as its wings
i think you can see the paint line
where the planned trail began
the amplitude upswing is decreasing
the famed trail is not long now
but the important thing to speak
is that the plane upswing has been rotating during the half hour
that we've been talking to you
an inertial frame of reference is one in which the alarm inner cities without
all frames of reference moving at a constant velocity with respect to an
inertial frame are also
inertial frame
we use the word
as an inertial frame of reference but it is only approximately one
a small acceleration with respect to the stars for example
the frame of reference other stars is the best we can do when we look for a
frame of reference which is for all practical purposes bextra
accelerated frame of reference is not a member shall frame
and when we are in an accelerated frame we have to introduce forces
which we called fictitious forces
in order that the law of inertia and the other laws of physics
don't change