Question

A monkey of mass $20\, kg$ is holding a vertical rope. The rope will not break when a mass of $25\, kg$ is suspended from it but will break if the mass exceeds $25\, kg.$ What is the maximum acceleration with which the monkey can climb up along the rope ? $(g = 10\, m/s^2)$

• A. $5\, m/s^2$
• B. $10\, m/s^2$
• C. $25\, m/s^2$
• D. $2.5 \,m/s^2$

Answer 1

Answer: (D)

$2.5 \,m/s^2$

Answer 2

$T _{\max }=25\, g ;\, ma = T _{\max }- mg$
$\Rightarrow a =\frac{ g }{4}=\frac{10}{4}=2.5\, m / s ^{2}$