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KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • question_answer
    Form particles A, B, C and D with masses \[{{m}_{A}}=m,\] \[{{m}_{B}}=2m,\]\[{{m}_{C}}=3m\]and \[{{m}_{D}}=4m\] are at the corners of a square. They have accelerations of equal magnitude with directions as shown. The acceleration of the centre of the centre of mass of particles is:

    A) Zero

    B) \[a(\hat{i}+\hat{j})\]

    C) \[\frac{a}{5}(\hat{i}-\hat{j})\]

    D) \[\frac{a}{5}(\hat{i}+\hat{j})\]

    Correct Answer: C

    Solution :

    \[{{\vec{a}}_{c}}=\frac{-ma\hat{i}+2ma\hat{j}+3ma\hat{i}-4ma\hat{j}}{10m}=\frac{a}{5}[\hat{i}-\hat{j}].\]


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