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Kinematics Kinematics JUNIOR EAMCET JUNIOR EAMCET
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Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Mar 26, 2015

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Page 1: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Kinematics Kinematics

JUNIOR EAMCETJUNIOR EAMCET

Page 2: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Distance and DisplacementDistance and Displacement

O A

B

4m

3m5m

O to B: distance is 7m and displacement is 5m

Page 3: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Distance and DisplacementDistance and Displacement

O A

BC

4m

3m5m

O to C along OABC: distance is 11m and displacement is 3m

Page 4: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Distance and DisplacementDistance and Displacement

O A

BC

4m

3m5m

O to O along OABCO: distance is 14m and displacement is zero

Page 5: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Arc of a Circle Arc of a Circle

RR

A B

Arc length AB is R

AB jaw length is

Page 6: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Average Speed and Average Average Speed and Average Velocity Velocity

u v

t t

v

s

u

s

Both averge speed and average velocity

Page 7: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Average Speed and Average Average Speed and Average Velocity Velocity

vs

u

s

Both averge speed

Both averge velocity

Page 8: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Train Crossing a BridgeTrain Crossing a Bridge

Post Train

Bridge Train

usTime of crossing

the post is

Time of crossing the bridge is

us L

Page 9: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Average Speed and Averge Average Speed and Averge Velocity Velocity

ABR

Average speed =

Average velocity =

Average acceleration =

u

u

Page 10: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Direction of AccelerationDirection of Acceleration

u v

u v

a

a

Direction of acceleration is v – u

Acceleration is positive if v > u

Acceleration is negative if v < u

Page 11: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Sign Application Sign Application

+ g Downward direction is positive

Freely falling body S, u, v, g, h are all positive

Body projecte up Upward direction is positive a = – g

u, v, h are all positive

Page 12: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Body Projected From the Top of Body Projected From the Top of a Towera Tower

u

Upward direction is positive

a = – g s = – h

u is positive

s, g are negative

Page 13: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Tossing in a TrainTossing in a Train

If Vt = Vb : a = 0; the ball falls in the hand

If Vt > Vb : a > 0 the ball falls bedhind

If Vt < Vb : a < 0; the ball falls in front

Page 14: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Vn – Vn-1 = a Vn = u + an

Vn-1 = u + a(n – 1)

Sn – Sn-1 = a

Page 15: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

u v

s

tDisplacement = average velocity × time

If u = 0

Page 16: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.
Page 17: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

A

B

a

u

ABa

u

A Ba

u

A travels with acceleration a, B with uniform velocity u If they start simultaneously Time of meet is

If A is ahead of B

d

dIf B is ahead of A

Page 18: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.
Page 19: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.
Page 20: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

One Body Projected and the One Body Projected and the Other Falling FreelyOther Falling Freely

u = 0

u = u

Time of meet is

hHeight of meet is

h = h1 + h2

Page 21: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

u u

h

Time taken to reach the ground is t1 when throuwn up

Time taken to reach the ground is t2 when thrown down

t1

t2

Time of free fall is

Initial velocity u =

Height h =

Page 22: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Water Drops from the TapWater Drops from the Tap

h

(n – 1)t =

‘t’ is time interval with which the drops are released

Ratio of displacements of 4th, 3rd, 2nd and 1st drops is 1 : 3 : 5 : 7

Page 23: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

h height of the window

u velocity at the top of the windowt time of crossing the window

Page 24: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

If the velocity is reduced by after travelling a distnce x, then the total distance it can travel is

n

v

Page 25: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

If th front and back of the train cross a post with velocities u and v, the center will cross the same post with velocity ----

u

v

x

Page 26: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Graphical RepresentationGraphical Representation

v

t

Uniform velocity

a

aO

-a10m/s

3 5 79

-5

Page 27: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Graphical RepresentationGraphical Representation

v

t

Uniform velocity

10/3

aO

-510m/s

3 5 79

-5

15 20 10-5

Page 28: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Graphical RepresentationGraphical Representation

v

tO

vmax

Page 29: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

v

tO

P

V – t GraphV – t GraphThe slope gives acceleration

Acceleration is positive if < 90

Acceleration is negative if > 90

Area represents displacement

Displacement is positive if area is above x - axis

Page 30: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Graphical RepresentationGraphical Representation

v

t

u constant

au = 0

a

u

-a

O

Page 31: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

A Bsu

vDistance is 2s

Displacement is zero

Time for forward journey is

Time for return journey is

Average speed is

Page 32: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

u

at

u

at

d

Page 33: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.
Page 34: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Equations of MotionEquations of Motion

X = a + bt + ct2

Page 35: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Problem Problem

Find the acceleration

Page 36: Kinematics JUNIOR EAMCET. Distance and Displacement O A B 4m 3m 5m O to B: distance is 7m and displacement is 5m.

Problem Problem