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The blocks of...

Question

The blocks of masses $m_{1} = 4 k g, m_{2} = 2 k g, m_{3} = 4 k g$ are connected with ideal strings passing over a smooth massless pulley as shown in the figure. The acceleration of blocks will be ? $(g = 10 m / s^{2})$ :

A

2 m / s^{2}

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B

4 m / s^{2}

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C

3 m / s^{2}

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D

5 m / s^{2}

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Solution

The correct option is A $2 m / s^{2}$
We have,

$m_{1} = 4 k g, m_{2} = 2 k g, m_{3} = 1 k g$

So,

$4 g = 40 N$ and $2 g + 4 g = 6 g = 60 N$

So,

$a_{n e t} (↓) = \frac{f}{n}$

$= \frac{60 - 40}{10} = \frac{20}{10}$

$= 2 m / s^{2}$

Thus, The acceleration of blocks will be

$= 2 m / s^{2}$

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