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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 isω. . Its centre of mass rises to a maximum height of

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a

13ℓ2ω2g

b

16ℓωg

c

12ℓ2ω2g

d

16ℓ2ω2g

answer is D.

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Detailed Solution

T.Ei=T.Ef 12lω2=mgh12×13mℓ2ω2=mgh⇒h=16ℓ2ω2g
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