Sample Lesson Physics

Chapter - 1

Course for IITJEE - 2012

PHYSICS Introduction to Vectors

_ b

Y 6

–X

+X _ c 4

7

–Y

_ a

_ a

_ a

_ a _ a

_ a

5

_ d

_ a

_ 2a _ – 3a

j

i O

Y

–X

X

–Y

–2i 3i

– 4j

1.5j

_

_

a _

5

_

a+b _

_

b

_

_

| a + b| = | a | + | b | = 9 units

4

_ a

_ 8

_ _ a+b 3

_ b 5

_

_

_

_

_

_

_

_

_

| a + b| = | a | – | b | if | a | > | b | _

_

| a + b| = | b | – | a | if | b | > | a |

_ _ +b a _ a

_ _ +b a

_ b

_ a

O

_ Q q _ P

Q

O

R q a

P

_ b

a

b c

c

b a

3

R

60

a 5

Y B

_ a

ay j

Y P

_ a

q ax A j X

O i

X

O i

ay = sin q a a cos q = ax

3 _ a

1

2

_ b

2

_ c

1

1 Y

O

5

5 sin 60° 60°

60°

5 cos 60°

6 sin 45°

45°

6

6 cos 45°

45°

10 sin 30° 30° 10

30°

10 cos 30°

X

10 30° 60° 8

10 sin 30° 8 cos 60°

10 cos 30°

8 sin 60°

Rx q R Ry

2

120° 2

2 cos 30°

2 sin 30°

R Ö 3 q 1

2

30°

a

b

10 a cos 30° b

a sin 30°

10

5 60° 5

q a

5 sin 60° a cos q

5 5 cos 60° a sin q

F

F sin 60° 120°

120°

120°

Resolving F

F cos 60°

F

X F cos 60°

F sin 60°

F

F2 F1

90° 135°

10Ö 2N Y F2

X F1

45° 2 cos 10Ö

45°

45° 2 sin 10Ö

A W1

20 N

B TB (tension in string B) W2

W2 = 50N (wt. of block) TA

W1 TB

W1

50 N

B 60°

60° A O

W

100 N

T0 Þ T0 = 100 N 100 N

T2 cos 60°

T2 sin 60°

T1 T0

B A

N1 B 15 N (wt. of B) N1 A 20 N (wt. of A)

N2

g

strin

q

q normal

ne Pla q

N

mg

sin

q

T

q mg cos q mg

B C

A 30°

NA

T1

WA

sin

q

q WA cos q WA

NB

T1

WB

sin

T2

q cos WB

q WB

T2

WC

F1 30°

A

B

F2 = 15 N

q

NB F2 = 15 N

R B

20 N (wt. of B)

NA A

R 30°

30 N

F1

0.1 N f

N 25 N m sN 100 N

N m sN

W sin 30° W cos 30° 30°

W

F 30°

F sin 30° N

m sN

F cos 30°

W

30°

N2

N1 m k

N1

T

m kN2

T

n 30° W si W cos 30° W

W

m R

R m R1

T

B

A R

37°

m R

37°

R1

W W

T1 T2 O B C

A T2

C

B 10Ö 3

T2 = 10Ö 3 T1 T2

q q O T0 (tension in string OA)

T1

10 N T1 = 10 N

Y

X T2

T1

q T0

T1

T3 53°

T2

W2

37°

W1

T3

53°

T2

53°

W2 37°T

1

37°

T2

W1

60° T3 T2

O T1

T3 60°

T2

T1

30° T

W

T2

T = 10 T1 30°

T2

W

q

q w

w T

T q

T

q

W T=W

W

0N

20

w 37°

A

45°

W N N f

T0 sin45° T1

T0

T2

45° T0 cos45°

T1 100

W T2

F = 50 N

m R 50N R

40N

N

F 45°

70g

40

_ _ +b a _ a

_ b

_ a

O

Q

O

_ _ +b a

R q a

P

_ b

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Course Material ·

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Detailed and highly organized study material. 80 chapters full of solved examples and illustrations to support the theoretical concepts.

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Study

Chapter Tests–80 tests for testing concepts learned in each chapter. Unit Tests–20 unit tests to check the ability to combine concepts from chapters in that unit. Test Series–20 test series for testing cumulative learning. Revision Tests – ability to go back to any of the tests and test yourself again after revising concepts to measure improvement.

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Access to forums for problem solving and discussions. Forums are moderated by teachers and IITians to provide the highest level of responses.

Analyze

Analysis and Reporting ·

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Detailed Solutions– you get to see solutions explaining in detail the approach and techniques used. Reporting and Analysis– Over 11 distinct reports which show test based results as well as cumulative reports that show performance over time. Comparison Testing– the reporting contains a measure of your performance as compared to others.