Motion: Concepts and Definitions in Physics
SAINIK
SCHOOL GOPALGANJ
CLASS –IX
CHAPTER –MOTION
BY
Dr A K CHOUBEY (TGT)
CHAPTER
8
MOTION
Motion is
defined
as the
change
in
position
of
body
with
time.
•
To
describe
the
position
(location)
of an
object we
need
to specify
a
reference
point
called
the
origin.
•
Let
us assume
that a school
in
a village
is
2 km
north
of
the railway
station.
We
have specified the
position
of the school with
respect
to
the
railway
station.
In this
example, the railway
station
is
the
reference point.
We
could have
also
chosen other
reference
points according to our
convenience.
C
o
n
c
e
p
t
o
f
R
e
s
t
a
n
d
M
o
t
i
o
n
A body is said to be in rest if its position does not vary with
respect Rest to a given referral point as time passes.
Motion: A body is said to be in motion if there is a
continues change in its position with respect to a given
referral as time passes. Concept of rest and motion is
related to referral change in position so a single object can
be at rest or motion same time with different referral points.
If we consider a single object as referral point and consider
it as rest, as a absolute point any object which is at rest
with respect to that point is considered at rest and same
case with motion. In general we consider Earth as
absolute point considering it at rest, Although It is in motion
with respect to Sun and other planets
D
i
s
t
a
n
c
e
A
n
d
D
i
s
p
l
a
c
e
m
e
n
t
The actual path covered during motion of
The Change in position made during a body
It is needed not to be the Shortest path
between two points It is the Scalar quantity
as It does not have any particular direction
motion of a body is known as displacement
It is the shortest path between initial and
final position It is a vector quantity as it is
always directed.
Concept of Rate of Motion
:
Rate is defined as ratio of change in two
quantities Rate is of two types . Average
Rate of quantity A with respect to B net
change in A net change in B
.lnstantaneous Rate is rate at an Instant
that is for very short interval of time.
.Speed, Velocity and Acceleration are
examples of Rate. Speed=Distance/Time
Average Speed =Total Distance
Travelled/Total Time Taken
Uniform
and non
Uniform
motion
•
Uniform
Motion-
If a
body
travels
equal
distance
in
equal
intervals
of
time then it is in
uniform
motion
•
Non-uniform
motion- If a
body
travels
unequal
distance
in
equal
intervals
of
time then it is in
uniform
motion
Distance
and
Displacement
•
Distance=
the
total
path length
covered
by
an
object
from
the
initial position
to
the
final
position
.
•
Displacement= The
shortest
distance
between
the
initial
and the
final
position.
Measuring the Rate of Motion-
Different
objects
may
take
different
amounts of time to
cover
a given distance. Some of them move
fast and some move
slowly.
One of the ways of
measuring the rate of motion of an object is to
find
out
the distance travelled by the object in
unit time. This quantity is referred to as
speed.
Speed=Distance/Time
Average
Speed =total distance
travelled/Total
time
taken
V
elocity
The
rate
of motion
is
more
meaningful
if
we
specify if
we
specify
its
direction
of motion with
speed,
which
is
termed
as
velocity.
It is
a
vector
quantity.
V
elocity
=
Di
s
palceme
n
t
/Ti
m
e
Average
velocity=
Total
Dispalcement/Total
Time
=v+u/2
A
C
C
E
L
E
R
A
T
I
O
N
T
h
e
q
u
a
n
t
i
t
y
w
h
i
c
h
s
p
e
c
i
f
i
e
s
c
h
a
n
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e
s
i
n
v
e
l
o
c
i
t
y
i
s
a
c
c
e
l
e
r
a
t
i
o
n
.
A
c
c
e
l
e
r
a
t
i
o
n
:
-
I
t
i
s
t
h
e
c
h
a
n
g
e
i
n
v
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l
o
c
i
t
y
o
f
a
b
o
d
y
p
e
r
u
n
i
t
t
i
m
e
.
(
o
r
t
h
e
r
a
t
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o
f
c
h
a
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o
f
v
e
l
o
c
i
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y
.
)
A
c
c
e
l
e
r
a
t
i
o
n
=
C
h
a
n
g
e
i
n
v
e
l
o
c
i
t
y
/
T
i
m
e
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,
t
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n
a
c
c
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e
r
a
t
i
o
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a
i
s
a
=
v
–
u
/
t
.
T
h
e
S
I
u
n
i
t
o
f
a
c
c
e
l
e
r
a
t
i
o
n
i
s
m
s
-
2
Acce
l
e
r
a
tion
•
The
rate
of
change
of
velocity
is
termed
as
acceleration. (During
non-uniform
motion)
•
Acceleration
=a=v-u/t
•
Its
SI unit
is
m/s2
•
Uniform
acceleration-When
the
change
in
velocity
is equal in
equal
intervals
of
time.
•
Non-Uniform
acceleration-When
the
change
in
velocity
is
unequal
in
equal
intervals
of
time.
Distance
time
graphs
•
For
a
body
moving in
uniform
motion
•
For
a
body
moving with
non-uniform
speed
Velocity
Time
Graphs
•
For
a
body
moving with
uniform
velocity
For
a body moving with
non-uniform
acceleration
EQUATIONS
OF
MOTION
•
V=u+at
(velocity
time
relation)
•
S=ut+1/2at
2
(position time
relation)
•
V
2
-u
2
=2as
(position velocity
relation)
Derivation
of the
first
equation
of
motion
Derivation
of
the
second equation of
motion
U
n
i
f
o
r
m
c
i
r
c
u
l
a
r
m
o
t
i
o
n
:
-
I
f
a
b
o
d
y
m
o
v
e
s
i
n
a
c
i
r
c
u
l
a
r
p
a
t
h
w
i
t
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u
n
i
f
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m
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p
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,
i
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m
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a
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.
U
n
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f
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T
h
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i
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b
y
2
π
r
.
Circular
motion
•
The
motion of a body
in
a
circular
path is called
a
circular
motion.
•
For
a
uniform
circular
motion
Acitivity
•
Take
a piece
of
thread and tie a small
piece
of
stone at one of its ends. Move
the stone
to
describe a circular path with
constant speed
by
holding the thread
at
the other
end.
•
Now,
let the stone
go
by releasing the
thread.
•
Repeat the
activity
for a few times by
releasing the stone at
different
positions
of
the circular path, check whether the
direction in which
the
stone
moves
remains the
same
or
not.
•
OBSERVATION-
on
being
released
the
stone
moves
along
a
straight
line
tangential to the circular
path.
This
shows
that
the direction
of
motion
changed at every point
when
the stone
was moving along the circular
path.
•
Uniform
circular motion
is
an
accelerated
motion
Motion in physics is defined as the change in position of an object over time. It involves concepts like rest, motion, distance, displacement, rate of motion, and types of motion. Rest and motion are relative to a reference point, while distance and displacement differ in their scalar and vector nature. Rates of motion can be average or instantaneous, and motion can be uniform or non-uniform based on the object's movement pattern. This chapter explores these fundamental principles to help comprehend the dynamic nature of objects in motion.
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Presentation Transcript
SAINIKSCHOOL GOPALGANJ CLASS IX CHAPTER MOTION BY Dr A K CHOUBEY (TGT)
CHAPTER 8 MOTION
Motion is defined as the change in position of body with time. To describe the position (location) of an object we need to specify a reference point called the origin. Let us assume that a school in a village is 2 km north of the railway station. We have specified the position of the school with respect to the railway station. In this example, the railway station is the reference point. We could have also chosen other reference points according to our convenience.
Concept of Rest and Motion A body is said to be in rest if its position does not vary with respect Rest to a given referral point as time passes. Motion: A body is said to be in motion if there is a continues change in its position with respect to a given referral as time passes. Concept of rest and motion is related to referral change in position so a single object can be at rest or motion same time with different referral points. If we consider a single object as referral point and consider it as rest, as a absolute point any object which is at rest with respect to that point is considered at rest and same case with motion. In general we consider Earth as absolute point considering it at rest, Although It is in motion with respect to Sun and other planets
Distance And Displacement The actual path covered during motion of The Change in position made during a body It is needed not to be the Shortest path between two points It is the Scalar quantity as It does not have any particular direction motion of a body is known as displacement It is the shortest path between initial and final position It is a vector quantity as it is always directed.
Concept of Rate of Motion: Rate is defined as ratio of change in two quantities Rate is of two types . Average Rate of quantity A with respect to B net change in A net change in B .lnstantaneous Rate is rate at an Instant that is for very short interval of time. .Speed, Velocity and Acceleration are examples of Rate. Speed=Distance/Time Average Speed =Total Distance Travelled/Total Time Taken
Uniform and non Uniform motion Uniform Motion- If a body travels equal distance in equal intervals of time then it is in uniform motion Non-uniform motion- If a body travels unequal distance in equal intervals of time then it is in uniform motion
Distance and Displacement Distance= the total path length covered by an object from the initial position to the final position . Displacement= The shortest distance between the initial and the final position.
Measuring the Rate of Motion- Different objects may take different amounts of time to cover a given distance. Some of them move fast and some move slowly. One of the ways of measuring the rate of motion of an object is to find out the distance travelled by the object in unit time. This quantity is referred to as speed. Speed=Distance/Time Average Speed =total distance travelled/Total time taken
Velocity The rate of motion is more meaningful if we specify if we specify its direction of motion with speed, which is termed as velocity. It is a vector quantity. Velocity=Dispalcement/Time Average velocity= Total Dispalcement/Total Time =v+u/2
ACCELERATION The quantity which specifies changes in velocity is acceleration. Acceleration :- It is the change in velocity of a body per unit time. ( or the rate of change of velocity.) Acceleration = Change in velocity/ Time If the velocity of a body changes from initial value u to final value v in time t, then acceleration a is a = v u/t .The SI unit of acceleration is ms - 2
Acceleration The rate of change of velocity is termed as acceleration. (During non-uniform motion) Acceleration =a=v-u/t Its SI unit is m/s2 Uniform acceleration-When the change in velocity is equal in equal intervals of time. Non-Uniform acceleration-When the change in velocity is unequal in equal intervals of time.
Distance time graphs For a body moving in uniform motion
Velocity Time Graphs For a body moving with uniform velocity
For a body moving with non-uniform acceleration
EQUATIONS OF MOTION V=u+at (velocity time relation) S=ut+1/2at2(position time relation) V2-u2=2as (position velocity relation)
Uniform circular motion :- If a body moves in a circular path with uniform speed, its motion is called uniform circular motion. Uniform circular motion is accelerated motion because in a circular motion a body continuously changes its direction. The circumference of a circle of radius r is given by 2 r.
Circular motion The motion of a body in a circular path is called a circular motion. For a uniform circular motion
Take a piece of thread and tie a small piece of stone at one of its ends. Move the stone to describe a circular path with constant speed by holding the thread at the other end. Now, let the stone go by releasing the thread. Repeat the activity for a few times by releasing the stone at different positions of the circular path, check whether the direction in which the stone moves remains the same or not. OBSERVATION- on being releasedthe stone moves along tangential to the circular path. This shows that the direction of motion changed at every point when the stone was moving along the circular path. Uniform circular motion is an accelerated motion Acitivity a straight line
