Three equal weights of 3 ~kg each are hanging on a string passing over a frictionless pulley as shown in figure. The tension in the string between masses II and III will be (Take g=10 ~m / sec ^2 )

Step-by-step solution

Three equal weights of 3 ~kg each are hanging on a string passing over a pulley as shown in figure. If a is the common acceleration. T-3 g=3 a (For mass I) 3 g+T₁-T=3 a (For mass II) 3 g-T₁=3 a (For mass III) Adding, above three equations aligned & 3 g=9 a, a=g / 3 & T₁=3 g-3 a=3 g-g=2 g=20 ~N aligned