The maximum tension a rope can withstand is 60kgwt. 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:
To find the ratio of the maximum acceleration with which two boys of masses 20 kg and 30 kg can climb up the rope at the same time, we need to consider the tension in the rope.
The tension in the rope can be calculated using Newton's second law, which states that the force is equal to the mass multiplied by acceleration:
Force = mass * acceleration
For the 20 kg boy:
Tension = 20 kg * acceleration1
For the 30 kg boy:
Tension = 30 kg * acceleration2
Since both boys are climbing up the rope at the same time and the rope has a maximum tension of 60 kgwt, we can equate the tensions:
20 kg * acceleration1 = 30 kg * acceleration2
Now, we can solve for the ratio of the accelerations:
acceleration1/acceleration2 = 30 kg / 20 kg
Simplifying this ratio gives us:
acceleration1/acceleration2 = 3/2
Therefore, the ratio of the maximum acceleration with which the two boys can climb up the rope at the same time is 3:2.