Two masses $2 \,kg$ and $3 \,kg$ are attached to the end of the string passed over a pulley fixed at the top. The tension and acceleration are
$\frac{{7g}}{8};\,\frac{g}{8}$
$\frac{{21g}}{8};\,\frac{g}{8}$
$\frac{{21g}}{8};\,\frac{g}{5}$
$\frac{{12g}}{5};\,\frac{g}{5}$
Two masses $2 \,kg$ and $3 \,kg$ are attached to the end of the string passed over a pulley fixed at the top. The tension and acceleration are
$T = \frac{{2{m_1}{m_2}}}{{{m_1} + {m_2}}}g = \frac{{2 \times 2 \times 3}}{{2 + 3}}g = \frac{{12}}{5}g$
$a = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)\;g $
$= \left( {\frac{{3 - 2}}{{3 + 2}}} \right)\;$
$g = \frac{g}{5}$
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