The maximum tension a rope can withstand is 60 kg-wt. The ratio of maximum acceleration with which two boys of masses…

Q: 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

Sol: m1 = 20 kg, m2 = 30 kg, T = 60 kgwt = 600 N

For ‘m1 ’ ; T – m1 g = m1 a1

600 – 20 × 10 = 20 × a1

⇒ a1 = 20 ms-2

For ‘m2 ’ ; T – m2 g = m2 a2

600 – 30 × 10 = 30 × a2

⇒ a2 = 10 ms-2

a1 : a2 = 20:10 = 2:1.