MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    A monkey of mass 30 kg climbs on a massless rope whose breaking strength is 450 N. The rope will break if the monkey (Take\[g=10\text{ }m/{{s}^{2}}\])

    A)  climbs up with a uniform speed of 5 m/s

    B)  climbs down with an acceleration\[4\text{ }m/{{s}^{2}}\]

    C)  climbs up with an acceleration\[\text{6 }m/{{s}^{2}}\]

    D)  climbs down with a uniform speed of\[\text{5 }m/{{s}^{2}}\]

    Correct Answer: C

    Solution :

                    To move up with an acceleration a, the monkey will push the rope downward with a force \[F=ma=30a\] Now, \[{{T}_{\max }}=mg+ma=30\times 10+30a\] \[\Rightarrow \]               \[450=\text{ }300+30a\] \[\Rightarrow \]               \[a=5\text{ }m/{{s}^{2}}\] Hence, the rope will break if the monkey climbs up with an acceleration more than 5 \[m/{{s}^{2}}\].


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