The maximum tension a rope can withstand is 60 ~kg -wt. The ratio of maximum acceleration with which two boys of masses 20 ~kg and 30 ~kg can climb up the rope at the same time is

Step-by-step solution

aligned 60 ~kg - wt & =20 (g+a₁ )+30 (g+a₂ ) = & 20 ~kg - wt +30 ~kg - wt +20 a₁+30 a₂ aligned aligned & 20 a₁+30 a₂=10 ~kg - wt & 2 a₁+3 a₂=1 & a₁= 1 4 ~g , a₂= 1 6 ~g & a₁: a₂=6: 4=3: 2 aligned