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Question

Physics Question on speed and velocity

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

A

16Lωg\frac{1}{6}\frac{Lω}{g}

B

12L2ω2g\frac{1}{2}\frac{L^2ω^2}{g}

C

13L2ω2g\frac{1}{3}\frac{L^2ω^2}{g}

D

16L2ω2g\frac{1}{6}\frac{L^2ω^2}{g}

Answer

16L2ω2g\frac{1}{6}\frac{L^2ω^2}{g}

Explanation

Solution

The correct option is (D): 16L2ω2g\frac{1}{6}\frac{L^2ω^2}{g}