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JEE Main Physics Class 11 System of Particles and Rotational Motion Part 1 Questions
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© examsnet.com
Question : 19
Total: 100
A thin smooth rod of length
L
and mass
M
is rotating freely with angular speed
ω
0
about an axis perpendicular to the rod and passing through its center. Two beads of mass
m
and negligible size are at the center of the rod initially. The beads are free to slide along the rod. The angular speed of the system, when the beads reach the opposite ends of the rod, will be:
[9 Apr. 2019 II]
M
ω
0
M
+
m
M
ω
0
M
+
3
m
M
ω
0
M
+
6
m
M
ω
0
M
+
2
m
Validate
Solution:
I
i
ω
i
=
I
f
ω
f
or
(
M
L
2
12
)
ω
0
=
(
M
L
2
12
+
2
m
(
L
2
)
2
)
ω
f
:
ω
f
=
(
M
ω
0
M
+
6
m
)
© examsnet.com
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