Question

Find maximum acceleration of a monkey of mass $5kg$, so that the block remains stationary.

• A. $5m/s^2$
• B. $10m/s^2$
• C. $20m/s^2$
• D. $6.67m/s^2$

Answer 1

The correct option is B $10xm/s^2$

Given,

Mass of block, $m=20kg$

Mass of monkey, $M=5kg$

Maximum friction force, $F_r=\mu mg=0.5\times 20\times 10=100N$

Maximum tension, due monkey movement, $T=Ma+Mg=5a+50$

$where,a=accelerationofmonkey$

$T=F_r$

$\Rightarrow 5a+50=100$

$\Rightarrow a=10m{s}^{-2}$

Hence, Maximum acceleration of monkey is $10m{s}^{-2}$