With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is 2 3 of the weight?

Step-by-step solution

If man slides down with some acceleration, then its apparent weight decreases. For critical condition rope can bear only 2 / 3 of his weight. If a is the minimum acceleration, then tension in the rope =m(g-a) = breaking strength m(g-a)= 2 3 m g a=g- 2 g 3 = g 3