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JEE Main Physics Class 11 System of Particles and Rotational Motion Part 2 Questions
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© examsnet.com
Question : 5
Total: 100
A pulley of radius
1.5
m
is rotated about its axis by a force
F
=
(
12
t
−
3
t
2
)
N
applied tangentially (while
t
is measured in seconds). If moment of inertia of the pulley about its axis of rotation is
4.5
kg
m
, the number of rotations made by the pulley before its direction of motion is reversed, will be
K
π
. The value of
K
is ________.
[27-Jul-2022-Shift-1]
Your Answer:
Validate
Solution:
τ
=
I
α
⇒
(
12
t
−
3
t
2
)
1.5
=
4.5
α
⇒
α
=
4
t
−
t
2
⇒
d
ω
dt
=
4
t
−
t
2
⇒
ω
=
t
∫
0
(
4
t
−
t
2
)
dt
⇒
ω
=
2
t
2
−
t
3
∕
3
© examsnet.com
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