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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        A system consisting of two masses connected by a massless rod lies along the\[x-\]axis. A 0.4 kg mass is at a distance\[x=2\text{ }m\] while a 0.6 kg mass is at a distance\[x=7\text{ }m\]. The. \[x-\] coordinate of the centre of mass is

    A)  5 m                       

    B)  3.5 m

    C)  4.5 m                   

    D)  4 m

    Correct Answer: A

    Solution :

                    The\[x-\]coordinate of centre of mass \[x=\frac{{{m}_{1}}{{x}_{1}}+{{m}_{2}}{{x}_{2}}}{{{m}_{1}}+{{m}_{2}}}\] Here,      \[{{m}_{1}}=0.4\,kg,{{x}_{1}}=2m\]                 \[{{m}_{2}}=0.6\,kg,{{x}_{2}}=7m\] Hence,  \[x=\frac{0.4\times 2+0.6\times 7}{0.4+0.6}\] \[x=5m\]


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