JEE Main202431 Jan 2024Evening ShiftPhysicsMechanical Properties of SolidsActual
Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is 4 . 0 × 10 - 5 m and Young's modulus of the metal is 2 . 0 × 10 11 N m - 2 . The longitudinal strain developed in the wire is 1 α π . The value of α is _____. [Use g = 10 m s - 2 )
Correct answer
0
Step-by-step solution
For the given system, T = 2 m 1 m 2 m 1 + m 2 g = 80 3 N Area of the wire, A = π r 2 = 16 π × 10 − 10 m 2 Strain = Δ l l = F A Y = T A Y = 80 3 16 π × 10 − 10 × 2 × 10 11 = 1 12 π ⇒ α = 12