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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 1

  • question_answer
    Moment of inertia of a uniform hexagonal plate about an axis LL' is I as shown in the figure (a). The moment of inertia (about axis XX') of an equilateral uniform triangular plate of thickness which is double that of the hexagonal plate is (Ratio of specific gravity \[\frac{{{\rho }_{t}}}{{{\rho }_{h}}}=3\])                  
    (a) (b)
              

    A) \[\frac{I}{5}\]          

    B) \[\frac{I}{10}\]

    C) \[I\]              

    D) zero            

    Correct Answer: A

    Solution :

    [a] \[I+2m=32x\] \[\therefore \,\,\,x=I/30\] Required moment of Inertia \[=\frac{I}{30}\times 2\times 3=\frac{I}{5}\]               


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