JEE Main & Advanced AIEEE Solved Paper-2008

  • question_answer
    Consider a uniform square plate of side 'a' and mass 'm' . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is     AIEEE  Solved  Paper-2007

    A) \[\frac{7}{12}m{{a}^{2}}\]

    B) \[\frac{2}{3}m{{a}^{2}}\]             

    C) \[\frac{5}{6}m{{a}^{2}}\]             

    D) \[\frac{1}{12}m{{a}^{2}}\]

    Correct Answer: B

    Solution :

    \[I={{I}_{cm}}+m{{d}^{2}}=\frac{m{{a}^{2}}}{6}+m{{\left( \frac{a}{\sqrt{2}} \right)}^{2}}=\frac{2}{3}m{{a}^{2}}\]


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