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Net Force

With referenc...

Question

With reference to fig, showing a light inextensibe string passing over a fixed fricionless pulley, the tension is:

A

24.5 N

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B

29.4 N

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C

18.6 N

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D

68.6 N

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Solution

The correct option is A $24.5 N$
Let $a$ be the acceleration of the system.
$a = \frac{7 - 5}{7 + 5} g = \frac{1}{6} g$

Consider the motion of 3kg mass,
$3 g - T_{2} = 3 a$
(Considering g= 9.8 $m / s^{2}$ )
$T_{2} = 3 g - 3 (\frac{g}{6})$
$T_{2} = \frac{5}{2} g$
$T_{2} = \frac{5}{2} \times 9.8 = 5 \times 4.9 = 24.5 N$

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