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Byju's Answer
Standard XI
Physics
Constrained Motion : Intuitive Approach
Velocity of b...
Question
Velocity of block B in the given arrangement is
300
m
m
/
s
e
c
towards right. Then velocity of A will be
A
200
m
m
/
s
e
c
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B
100
m
m
/
s
e
c
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C
450
m
m
/
s
e
c
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D
150
m
m
/
s
e
c
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Solution
The correct option is
A
200
m
m
/
s
e
c
Assume rightward direction to be +ve
For pulley 1,
v
1
=
v
B
=
v
C
+
v
D
2
v
C
=
0
since that end of the string is fixed.
⇒
v
D
=
2
v
B
−
−
(
1
)
For pulley 2,
v
2
=
v
A
=
v
E
+
v
F
2
v
E
=
v
D
⇒
v
A
=
2
v
B
+
v
F
2
−
−
(
2
)
(using (1))
Pulley 3 is fixed
⇒
v
G
=
v
H
=
v
A
But
v
F
=
v
G
∴
v
F
=
−
v
A
−
−
(
3
)
(because direction is opposite to that of A)
Substituting (3) in (2),
v
A
=
2
v
B
−
v
A
2
⇒
3
v
A
=
2
v
B
⇒
v
A
=
2
v
B
3
=
2
×
300
m
m
/
s
e
c
3
⇒
v
A
=
200
m
m
/
s
e
c
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