AP EAMCET2011PhysicsMechanical Properties of Solids
Two blocks of masses 1 ~kg and 2 ~kg are connected by a metal wire going over a smooth pulley. The breaking stress of metal is 40 3 10^6 Nm ⁻² . What should be the minimum radius of wire used if it should not break? (g=10 ~ms ⁻² )
Options
- A0.5 mm
- B1 mm
- C1.5 mm
- D2 mm
Correct answer
C. 1.5 mm
Step-by-step solution
aligned & Breaking stress = F A & Here, breaking stress = 40 3 10^6 Nm ⁻² & 40 3 10^6= 3 10 r^2 & r^2= 9 4 10⁻⁶ aligned or aligned r & =1.5 10⁻³ ~m & =1.5 ~mm aligned