Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
     In the figure shown, \[{{m}_{1}}=10kg,\,{{m}_{2}}=6\,kg,\] \[{{m}_{4}}=4kg.\,\,\,\]If\[{{T}_{3}}=40N,\,{{T}_{2}}=?.\,\,\,\]

    A)  13 N                                     

    B)  32 N

    C)  25 N                     

    D)         35 N

    Correct Answer: B

    Solution :

    Let\[\alpha \]be the acceleration of each block. Then,                 \[{{T}_{3}}=({{m}_{1}}+{{m}_{2}}+{{m}_{3}})a\]                 ... (i) and        \[{{T}_{2}}=({{m}_{1}}+{{m}_{2}})a\]                                       ... (ii) From Eqs. (i) and (ii), we get                 \[{{T}_{2}}=\left( \frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}} \right)\times {{T}_{3}}\]                 \[=\left( \frac{10+6}{10+6+4} \right)\times 40=32\,\,N\]


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