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Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is \[\frac{2}{3}\]of the weight?

    A)  \[\frac{2}{3}g\]                               

    B)  g

    C)  \[\frac{1}{3}g\]               

    D)         Zero

    Correct Answer: C

    Solution :

    If man slides down with some acceleration, then its apparent weight decreases. For critical condition rope can bear only\[2/3\]of his weight. If\[a\]is the minimum acceleration, then tension in the rope\[=m(g-a)\]                                 = breaking strength \[\Rightarrow \]               \[m(g-a)=\frac{2}{3}mg\] \[\Rightarrow \]               \[a=g-\frac{2g}{3}=\frac{g}{3}\]


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