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NEET Sample Paper NEET Sample Test Paper-55

  • question_answer
    A uniform circular disc of radius a is taken. A circular portion of radius b has been removed from it as shown in the figure. If the centre of hole is at a distance c from the centre of the disc, the distance \[{{x}_{2}}\] of the centre of mass of the remaining

    A) \[\frac{\pi {{b}^{2}}}{({{a}^{2}}-{{b}^{2}})}\]                   

    B) \[\frac{c{{b}^{2}}}{({{a}^{2}}-{{b}^{2}})}\]

    C) \[\frac{-\pi {{c}^{2}}}{({{a}^{2}}-{{b}^{2}})}\]                  

    D) \[\frac{\pi {{a}^{2}}}{({{c}^{2}}-{{b}^{2}})}\]

    Correct Answer: B

    Solution :

    \[{{x}_{2}}\,\,=\,\,\frac{m(0)-\frac{m}{{{a}^{2}}}{{b}^{2}}\,(c)}{m-\frac{m}{{{a}^{2}}}{{b}^{2}}}\] \[=\,\,\frac{-c{{b}^{2}}}{{{a}^{2}}-{{b}^{2}}}\]


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