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Q. Refer to the system shown in figure. The acceleration of the masses isPhysics Question Image

Laws of Motion

Solution:

From diagram,
$5 g -T_{2}=5 a\,\,\,...(i)$
$T_{2}-T_{1}=3 a\,\,\,...(ii)$
$T_{1}- g = a\,\,\,...(iii)$
image
Solving Eqs. (i), (ii) and (iii), we get
$g=9 a$
or $a=\frac{g}{9}$