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NEET AIPMT SOLVED PAPER SCREENING 2012

  • question_answer
    ABC is an equilateral triangle with O as its centre. \[{{F}_{1}},{{F}_{2}}\] and \[{{F}_{3}}\] represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of \[{{F}_{3}}\] is

    A)                 \[{{F}_{1}}+{{F}_{2}}\]  

    B)        \[{{F}_{1}}-{{F}_{2}}\]

    C)                        \[\frac{{{F}_{1}}+{{F}_{2}}}{2}\]

    D)        \[2({{F}_{1}}+{{F}_{2}})\]

    Correct Answer: A

    Solution :

    If we take clockwise torque \[\tau ={{\tau }_{{{F}_{1}}}}+{{\tau }_{{{F}_{2}}}}+{{\tau }_{{{F}_{3}}}}\] \[0={{F}_{1}}r+{{F}_{2}}r+{{F}_{3}}r\] \[{{F}_{3}}={{F}_{1}}+{{F}_{2}}\]


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