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Atwood Machine

An Atwood mac...

Question

An Atwood machine is set up like the figure below. If $m_{1} = 5.0 k g$ and $m_{2} = 15 k g$ . What is the tension in the rope?
Take the value of $g = 10 m s^{- 2}$

A

25 N

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B

50 N

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C

75 N

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D

100 N

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Solution

The correct option is C $75 N$
The tension in the rope in the case of Atwood machine is calculated as:
$T = \frac{2 m_{1} m_{2} g}{m_{1} + m_{2}}$
where, $m_{1}$ and $m_{2}$ is the mass of block 1 and 2 and $g$ is the acceleration due to gravity.

Here, $m_{1} = 5 k g$ and $m_{2} = 15 k g$
Therefore,
$T = \frac{2 \times 15 \times 5 \times 10}{5 + 15} = 75 N$

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