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AIPMT 2014 Physics and Chemistry Paper
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© examsnet.com
Question : 9
Total: 90
A solid cylinder of mass
50
kg
and radius
0.5
m
is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions
s
−
2
is :-
25
N
50
N
78.5
N
157
N
Validate
Solution:
Here
α
=
2
revolutions
/
s
2
=
4
π
rad
/
s
2
I
=
1
2
MR
2
=
1
2
(
50
)
(
0.5
)
2
=
25
4
Kg
−
m
2
As
τ
=
l
α
so
TR
=
l
α
⇒
T
=
I
α
R
=
(
25
4
)
(
4
π
)
(
0.5
)
N
=
50
π
N
=
157
N
© examsnet.com
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