The minimum acceleration with which a fireman can slide down a rope, if the breaking strength of the rope is 2 3 of his weight, is

Step-by-step solution

If the fireman slides down with some acceleration, his 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 = Breaking stress = m g - a m g - a = 2 3 m g ⇒ a = g - 2 g 3 = g 3