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Friction and Vertical Circular Motion Problems

Two masses ...

Question

Two masses $m_{1}$ and $m_{2}$ are attached to a string which passes over a frictionless smooth pulley. When $m_{1} = 10$ kg, $m_{2} = 6$ kg, the acceleration of masses is?

A

20 m / s^{2}

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B

5 m / s^{2}

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C

2.5 m / s^{2}

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D

10 m / s^{2}

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Solution

The correct option is C $2.5 m / s^{2}$
Given : $m_{1} = 10 k g$ $m_{2} = 6 k g$
Acceleration of the masses $a = \frac{(m_{1} - m_{2}) g}{m_{1} + m_{2}}$
$⟹ a = \frac{(10 - 6) 10}{10 + 6} = 2.5 m / s^{2}$
Correct answer is option C.

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