NEET Sample Paper NEET Sample Test Paper-15

  • question_answer If the system is released, then the acceleration of the centre of mass of the system (as shown in the figure) is:

    A)  \[\frac{g}{4}\]                                   

    B) \[\frac{g}{2}\]

    C)  \[g\]                            

    D)  \[2g\]

    Correct Answer: A

    Solution :

    Let the magnitude of acceleration of the block be a. \[a=\frac{3mg-mg}{3m+m}=\frac{g}{2}\] Let the downward direction be positive and upward direction negative. Now, \[{{a}_{cm}}=\frac{{{m}_{1}}{{a}_{1}}+{{m}_{2}}{{a}_{2}}}{{{m}_{1}}+{{m}_{2}}}=\frac{3m\frac{g}{2}-\frac{mg}{2}}{3m+m}\] \[\therefore \]    \[{{a}_{cm}}=\frac{mg}{4m}=\frac{g}{4}\] Hence, the correction option is [a].


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