JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Motion of Connected Bodies

  • question_answer
    Two masses 2 kg and 3 kg are attached to the end of the string passed over a pulley fixed at the top. The tension and acceleration are

    A)                         \[\frac{7g}{8};\,\frac{g}{8}\]            

    B)                         \[\frac{21g}{8};\,\frac{g}{8}\]            

    C)                         \[\frac{21g}{8};\,\frac{g}{5}\]            

    D)                           \[\frac{12g}{5};\,\frac{g}{5}\]            

    Correct Answer: D

    Solution :

                                \[T=\frac{2{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}g=\frac{2\times 2\times 3}{2+3}g=\frac{12}{5}g\]             \[a=\left( \frac{{{m}_{2}}-{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}} \right)\ g=\left( \frac{3-2}{3+2} \right)\ g=\frac{g}{5}\]


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