Question

A monkey of $25kg$ is holding a vertical rope. The rope does not break if a body of mass $30kg$ is suspended from it, but the rope breaks if the mass of the body suspended with the rope exceeds $30kg$. What will be the maximum acceleration with which the monkey can climb up along the rope? (Take $g=10m{s}^{-2}$)

• A. $2.0m{s}^{-2}$
• B. $2.5m{s}^{-2}$
• C. $3.0m{s}^{-2}$
• D. $4.0m{s}^{-2}$

Answer 1

The correct option is A $2.0m{s}^{-2}$

The maximum weight which can be suspended with the rope without breaking it $=30kg$ $wt$
$30\times 10=300N$
$\therefore$ $300N=mg+ma$
or $ma=300-mg=300-(25\times 10)=50N$
or $a=\frac{50}{m}=\frac{50}{25}=2.0m{s}^{-2}$