Question

Consider the system shown in figure. System is released from rest, find the tension (in Newton) in the cord connected between 1 kg and 2 kg blocks. $(g=10\frac{m}{s^2})$

Answer 1

By Newton's second law, we have
$1g-T_1=1a...........\left(i\right)$
$(T_1+2g)-T_2=2a...........\left(ii\right)$
and $T_2-2g=2a...........\left(iii\right)$
Solving equation (i), (ii) & (iii), we get
$a=2\frac{m}{s^2}$
$T_1=8N$