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Q.

A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of

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a

16l2ω2g

b

13l2ω2g

c

16lωg

d

12l2ω2g

answer is C.

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Detailed Solution

Question Image

From conservation of mechanical energy ,

PE at B = KE at A

mgh = 12 Iω2
mgh=12ml23ω2

⇒h=l2ω26g

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