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System Of Particles And Rotational Motion

Question
CBSEENPH11020356

A thin uniform rod of length

  • 1 third fraction numerator calligraphic l squared straight omega squared over denominator straight g end fraction
  • 1 over 6 fraction numerator calligraphic l straight omega over denominator straight g end fraction
  • 1 half fraction numerator calligraphic l squared straight omega squared over denominator straight g end fraction
  • 1 over 6 fraction numerator calligraphic l squared straight omega squared over denominator straight g end fraction

Solution

D.

1 over 6 fraction numerator calligraphic l squared straight omega squared over denominator straight g end fraction 1 half open parentheses fraction numerator straight m space calligraphic l squared over denominator 3 end fraction close parentheses straight omega squared space equals space mgh
rightwards double arrow space straight h space equals space fraction numerator straight omega squared calligraphic l squared over denominator 6 straight g end fraction