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Applying NLM along 3 Axis

As shown in t...

Question

As shown in the figure, a horizontal force of $70 N$ is applied on system of block of masses $4 k g$ , $2 k g$ and $1 k g$ placed on a frictionless horizontal surface. If the tension in one string is $T_{1} = 60 N$ , find the tension $T_{2}$ in the second string.

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Solution

According to the newton's law of motion , $F = (m_{1} + m_{2} + m_{3}) a$
$\Rightarrow a = \frac{F}{m_{1} + m_{2} + m_{3}} = \frac{70}{7} = 10 m / s^{2}$
$T_{2} = m_{3} a = 4 \times 10 = 40 N$

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