Two weights w₁ and w₂ are suspended to be the two strings on a frictionless pulley. When the pulled up with an acceleration g then the tension in the string is

Step-by-step solution

The free body diagram of the given situation is shown. Taking the upward and downward motions respectively, we get aligned T₁-m g & =m₁(g+a) T-2 m g & =m₁ a aligned for second weight aligned m₂ g-T & =m₂(g-a) 2 m₂ g-T & =m₂ a T & = 4 m₁ m₂ g (m₁+m₂ ) w₁=m₁ g, m₂ & =m₂ g hence switch T & = 4 w ₁ w ₂ ( w ₁+ w ₂ ) aligned