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  4. A particle of small mass m is joined to a very heavy body by a light string passing over a light pulley. Both bodies are free to move. The total downward force in the pulley is

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Q. A particle of small mass m is joined to a very heavy body by a light string passing over a light pulley. Both bodies are free to move. The total downward force in the pulley is

Solution:

$T - mg = ma$ ...(1)
$Mg - T = Ma$ ...(2)
from $(1)$ and $(2)$
$a =\left(\frac{ M - m }{ M + m }\right) g$
Put $M >> m$
$\Rightarrow a = g$
$\therefore T =2\, mg,$
$2 T =4\, mg$
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