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Y 5 a _
b _
6
X +X
c _ 4
Y
d _ 7
a _
a _
a _
a _
- a _
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a _
2a _
3a _
j
i
O
Y
X X
Y 2i
3i
1.5j
4j
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a _
5 b _
4
a + b _ _
| a + b| = | a | + | b | = 9 units _ _ _ _
3
a _
8b _
a + b _ _ 5
| a + b| = | a | | b | if | a | > | b | _ _ _ _ _ _
| a + b| = | | | |b a if | b | > | a | _ _ _ _ _ _
a +
b_ _
a _
b _
a + b
_
_
b _
a _ O
Q _
P _
q
Qq
R
a
PO
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c
a
b
a b
c
3 R
560 a
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Y
X
i
a_
j
O
Y
X
j
i
P Aax
a _
ay
B
q
O
a = s in qy a
a cos q = ax
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2
c _
1b_
2
3
a _
1
1
Y
OX
5
60 605 sin 60
5 cos 60
645
6 sin 45
6 cos 45 45
30
10
10 sin 30 10 cos 30
30
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10
3060
8
10 sin 30
8 cos 60 10 cos 30
8 sin 60
Ry
Rx
Rq
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2 120
2
2 cos 30
2 sin 30 2
3R
q1
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a 30
b
10
a cos 30
a sin 30
10
b
q
a
60
5
5
5 sin 60
a cos q 55 cos 6 0
a sin q
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F
120
120 120 F
F
XResolving F cos 60
F cos 60
F sin 60
F
F sin 60
F2
135
90F1
102 N
F2
F1
45 1 0 2 c s
4 5 o
1 0 s i 4
5 2 n
Y
X
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A
W1 20 N
B
50 NW2
T (tension in string B)B
W = 50N (wt. of block)2
TA
TB W1
W1
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B
60
O
W
A
100 N
60
T0
100 N
T = 100 N0
T cos 60 2
T sin 60 2
T0
T1
B
A
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N1
B
15 N (wt. of B)
N1
A
20 N (wt. of A)N2
s t r i n g
q
P l a n eq
qnormal
N
m g s i n q
T
mg cos qq
mg
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A
B
30
C
NA
T 1
W s i n
q A
q
WA
W cos qA
W i n
q s B
W c o s q
B
WB
q
T 2
T 1
N B
T2
WC
F1
30 A B F = 15 N2
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NB
F = 15 N2RB
20 N (wt. of B)
NA
A R
30 N
30
F1
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f 0.1 N
mNs
N
25 N
100 N
W sin 30
N
W30
W cos 30
mNs
30
F
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F sin 30
mNs F cos 30
W
N
30
n 3 W s i 0
N1 T m
N 1 k
W cos 30
W
N2
mNk 2
W
T
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T
W
37
R
mR
B A
37
W
R 1
RmR1
mR
T1
T2
BC
A
O
T2 T1
C B
103 10 NT = 10 32 T = 10 N1
T1
q
q
T2
O
T (tension in0string OA)
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T1
T0
T2
Y X
q
T3 T1
T2
W2 W1
53 37
T2T3
W2
53
53
T2
T1
W1
37
37
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T1
O
T3
T2
60
T2
T1
60
T3
30
T
W
T = 10
30
T1
T2
T2
W
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q
w
w
q
T T
W
qq
W
T
T = W
2 0 0 N
w37
A 45
W
N
100
f T1T cos45 0
T2
N
T sin45 0 T0
T1
T2
W
45
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F = 50 N40
R50N
40N
mR
45
F
70g
N
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a + b_
_
a
_ b _
a + b_
_
b _
a _ O
Qq
R
a
PO
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Chapter Tests 80 tests fortesting concepts learned ineach chapter.
Unit Tests 20 unit tests tocheck the ability to combineconcepts from chapters in thatunit.
Test Series 20 test seriesfor testing cumulativelearning.
Revision Tests ability to goback to any of the tests andtest yourself again afterrevising concepts to measureimprovement.
Online Tests
Detailed Solutions you getto see solutions explaining indetail the approach andtechniques used.
Reporting and Analysis Over 11 distinct reports whichshow test based results as wellas cumulative reports thatshow performance over time.
Comparison Testing thereporting contains a measureof your performance ascompared to others.
Analysis and Reporting Access to forums forproblem solving anddiscussions.
Forums are moderatedby teachers and IITiansto provide the highestlevel of responses.
Online Forums
Detailed and highlyorganized studymaterial.
80 chapters full of solved examples andillustrations to supportthe theoreticalconcepts.
Course Material
Study Test
AnalyzeDiscuss
Student
Correspondence Course - How it works
