Question

Two similar planes of mass $m$ each having failed engines are being pulled by a stronger plane in air.
At $t=0$, they are travelling at uniform speed producing tension $T_A$ in rope $A$. Tension in rope $B$ just after the beginning of acceleration is

• A. $T_A$
• B. $T_A-ma$
• C. $2T_A+ma$
• D. $\frac{T_A}{2}+ma$

Answer 1

The correct option is D $\frac{T_A}{2}+ma$

Before acceleration tension at rope B is $T_B=\frac{1}{2}\times$ tension at rope A$=\frac{T_A}{2}$
After acceleration tension at rope B , $T_B^{\prime }=T_B+ma=\frac{T_A}{2}+ma$