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Class 11 NEET Physics System of Particles and Rotational Motion
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© examsnet.com
Question : 65
Total: 109
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity
ω
. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity
(2009)
ω
M
M
+
2
m
ω
(
M
+
2
m
)
M
ω
M
M
+
m
ω
(
M
−
2
m
)
M
+
2
m
Validate
Solution:
As the masses are added to the ring gently, there is no external torque and angular momentum is conserved.
I
ω
=
I
′
ω
′
⇒
M
R
2
ω
=
(
M
R
2
+
2
m
R
2
)
ω
′
⇒
ω
′
=
M
R
2
ω
(
M
+
2
m
)
R
2
⇒
ω
′
=
M
ω
M
+
2
m
© examsnet.com
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