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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    A force\[I\] acts on O, the origin of the coordinate system. The torque about the point (1,- 1) is

    A) \[5V\]

    B) \[{{l}_{AC}}=\sqrt{2}{{l}_{EF}}\]

    C) \[{{l}_{AC}}={{l}_{EF}}\]

    D) \[\sqrt{2}{{l}_{AC}}={{l}_{EF}}\]

    Correct Answer: D

    Solution :

    Torque about the point (-1, -1) \[\frac{4{{x}^{3}}}{4}-\frac{2x}{2}=0\] \[\Rightarrow \] \[x=0,x=\pm 1\] \[{{U}_{\min }}(x=\pm 1)=\frac{1}{4}-\frac{1}{2}=\frac{-1}{4}\text{J}\]


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