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

Step-by-step solution

Equation of motion for first weight aligned T-m₁ g & =m₁(g+a) T-2 m₁ g & =m₁ a (1) aligned For second weight aligned m₂ g-T & =m₂(a-g) 2 m₂ g-T & =m₂ a (2) aligned On solving Eqs. (1) and (2) aligned T & = 4 m₁ m₂ g (m₁+m₂ ) & = 4 w₁ w₂ (w₁+w₂ ) aligned