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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

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

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

    B)  \[g\]

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

    D)  Zero

    Correct Answer: C

    Solution :

                    If man slides down with same acceleration than its apparent weight decrease. For critical condition rope can be bar only 2/3 of his weight. If a is the minimum acceleration then, Tension in the rope \[=m(g-a)\] = Breaking strength                 \[m(g-a)=\frac{2}{3}mg\]                 \[a=g-\frac{2g}{3}=\frac{g}{3}\]


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