Two masses of 5 ~kg and 3 ~kg are suspended with the help of massless inextensible strings as shown in figure below. When whole system is going upwards with acceleration 2 ~m / s ^2 , the value of T₁ is (use, g=9.8 ~m / s ^2 )

Step-by-step solution

The given situation is shown below Equation of motion for body m₂ , aligned T₂-m₂ g & =m₂ a T₂-3 g & =3 2 T₂ & =3 g+6=3 9.8+6=35.4 ~N aligned Equation of motion of mass of 5 ~kg , aligned & & T₁-T₂-m₁ g & =m₁ a & & T₁-35.4-5 9.8 & =5 2 & & T₁-84.4 & =10^ & & T₁ & =10+84.4=94.4 ~N aligned