Three blocks of masses m ₁, ~m ₂ and m ₃ are connected by massless strings, as shown, on a frictionless table. They are pulled with a force T ₃=40 ~N . If m₁=10 ~kg , ~m ₂=6 ~kg and m ₃=4 ~kg , the tension T ₂ will be

Step-by-step solution

For equilibrium of all 3 masses, a= T ₃ ~m ₁+ m ₂+ m ₃ For equilibrium of m ₁ & ~m ₂ T ₂= ( m ₁+ m ₂ ) a or, T ₂= ( m ₁+ m ₂ ) T ₃ ~m ₁+ m ₂+ m ₃ Given m₁=10 ~kg , ~m ₂=6 ~kg , ~m ₃=4 ~kg T ₃=40 ~N T ₂= (10+6) 40 10+6+4 =32 ~N