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

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a

l2 ω2 g

b

l2 ω26 g

c

l2 ω23 g

d

l2 ω25 g

answer is B.

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Detailed Solution

m g h = 12ml2 ω23  h =   l2ω26 g
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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