First slide

Connected bodies

Question

A light string passing over a smooth light pulley connects two blocks of masses $m_{1}$ and $m_{2}$ (vertically). If the acceleration of the system is g/8 then the ratio of the masses is

Moderate

A

9 : 7
B

8 : 1
C

4 : 3
D

5 : 3

Solution

$a c c e l e r a t i o n o f a p u l l e y s y s t e m i s a = (\frac{m_{1 -} m_{2}}{m_{1} + m_{2}}) g = \frac{g}{8} s o l v i n g \frac{m_{1}}{m_{2}} = \frac{9}{7}$

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