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Second Law of Motion

Consider the ...

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. $(g = 10 \frac{m}{s^{2}})$

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Solution

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

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