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Byju's Answer
Standard XII
Physics
Tension in a String
Find F such t...
Question
Find
F
such that the
2
kg
body goes up with an acceleration of
2
m/s
2
.
Take (
g
=
10
m/s
2
)
A
10
N
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B
20
N
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C
25
N
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D
30
N
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Solution
The correct option is
D
30
N
FBDs of the two bodies are as shown.
For
2
k
g
block, we can write
T
−
2
g
=
2
a
⇒
T
=
2
(
a
+
g
)
=
2
(
2
+
10
)
=
2
(
12
)
=
24
N
For
3
k
g
block, we can write
F
−
T
=
3
a
⟹
F
=
T
+
3
a
∴
F
=
24
+
3
(
2
)
=
30
Thus,
F
=
30
N
Alternate:
Consider the two bodies as a system whose acceleration is
2
m
/
s
2
, so the effective force is on the left side.
So, for equilibrium we have
a
=
(Effective force)
Total mass
=
F
−
2
g
5
⟹
2
=
F
−
2
g
5
⟹
F
=
10
+
2
g
=
10
+
2
×
10
Thus,
F
=
30
N
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Similar questions
Q.
Find
F
such that the
2
kg
body goes up with an acceleration of
2
m/s
2
.
Take (
g
=
10
m/s
2
)
Q.
What is the maximum value of the force
F
such that the block shown in the arrangement, does not move (Take
g
=
10
m
/
s
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)
Q.
A pendulum bob of mass 50 g is suspended from the ceiling of an elevator. Find the tension in the string if the elevator (a) goes up with acceleration 1.2 m/s
2
, (b) goes up with deceleration 1.2 m/s
2
, (c) goes up with uniform velocity, (d) goes down with acceleration 1.2 m/s
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and (f) goes down with uniform velocity.