Question

25. A body is being pulled up with the help of a rope, if the breaking load of
the rope is twice the weight of the body, the maximum acceleration, with
which the rope can be pulled up without breaking, is A) gB)g/2 C) 2g D)2g/3​

Answer 1

Answer:If the person freely gets suspended from the rope,the rope will break as then the tension in the rope will be equal to weight of the person. Thus in order to prevent the rope from breaking, the person should slide down the rope with an acceleration greater than a certain minimum.If T is the force with which the person pulls the rope downwards, T is also the force with which the rope pulls the person upwards.

Thus for the downward accelerated movement of the fireman, mg−T=ma

or, mg−  

3

2

​  

mg=ma

a=  

3

g

​