Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is 24 π × 10 2 N m - 2 . What is the minimum radius of the wire ? ( take g = 10 m s - 2

Step-by-step solution

Tension in the string = 2 m 1 m 2 m 1 + m 2 g = 2 × 3 × 5 × 10 8 = 75 2 Stress = T A 24 π × 10 2 = 75 2 π r 2 r 2 = 75 48 × 10 - 2 r 2 = 0 . 015625 r = 0 . 125   m = 12 . 5   cm